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Finding the Fourth Proportional to 188.42, 282.63 and 78.70

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Solution

The fourth proportional to 188.42, 282.63 and 78.70 is: 118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.42 : 282.63 = 78.70 : x
  2. Step 2: Convert to fraction form
    188.42/282.63 = 78.70/x
  3. Step 3: Cross multiply
    188.42x = 282.63 × 78.70
  4. Step 4: Simplify right side
    188.42x = 22,242.98
  5. Step 5: Solve for x
    x = 22,242.98/188.42
  6. Step 6: Final answer
    x = 118.05

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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.