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Finding the Fourth Proportional to 470.64, 706.07 and 178.14

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Solution

The fourth proportional to 470.64, 706.07 and 178.14 is: 267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.64 : 706.07 = 178.14 : x
  2. Step 2: Convert to fraction form
    470.64/706.07 = 178.14/x
  3. Step 3: Cross multiply
    470.64x = 706.07 × 178.14
  4. Step 4: Simplify right side
    470.64x = 125,778.42
  5. Step 5: Solve for x
    x = 125,778.42/470.64
  6. Step 6: Final answer
    x = 267.25

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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.