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Finding the Fourth Proportional to 314.02, 470.96 and 97.55

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Solution

The fourth proportional to 314.02, 470.96 and 97.55 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.02 : 470.96 = 97.55 : x
  2. Step 2: Convert to fraction form
    314.02/470.96 = 97.55/x
  3. Step 3: Cross multiply
    314.02x = 470.96 × 97.55
  4. Step 4: Simplify right side
    314.02x = 45,939.31
  5. Step 5: Solve for x
    x = 45,939.31/314.02
  6. Step 6: Final answer
    x = 146.30

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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.