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Finding the Fourth Proportional to 314.16, 470.96 and 177.08

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Solution

The fourth proportional to 314.16, 470.96 and 177.08 is: 265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.16 : 470.96 = 177.08 : x
  2. Step 2: Convert to fraction form
    314.16/470.96 = 177.08/x
  3. Step 3: Cross multiply
    314.16x = 470.96 × 177.08
  4. Step 4: Simplify right side
    314.16x = 83,397.60
  5. Step 5: Solve for x
    x = 83,397.60/314.16
  6. Step 6: Final answer
    x = 265.46

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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.