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Finding the Fourth Proportional to 703.14, 1,054.68 and 190.14

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Solution

The fourth proportional to 703.14, 1,054.68 and 190.14 is: 285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.14 : 1,054.68 = 190.14 : x
  2. Step 2: Convert to fraction form
    703.14/1,054.68 = 190.14/x
  3. Step 3: Cross multiply
    703.14x = 1,054.68 × 190.14
  4. Step 4: Simplify right side
    703.14x = 200,536.86
  5. Step 5: Solve for x
    x = 200,536.86/703.14
  6. Step 6: Final answer
    x = 285.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.