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Finding the Fourth Proportional to 469.14, 703.70 and 180.50

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Solution

The fourth proportional to 469.14, 703.70 and 180.50 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.14 : 703.70 = 180.50 : x
  2. Step 2: Convert to fraction form
    469.14/703.70 = 180.50/x
  3. Step 3: Cross multiply
    469.14x = 703.70 × 180.50
  4. Step 4: Simplify right side
    469.14x = 127,017.85
  5. Step 5: Solve for x
    x = 127,017.85/469.14
  6. Step 6: Final answer
    x = 270.75

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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.