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Finding the Fourth Proportional to 313.66, 470.52 and 97.24

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Solution

The fourth proportional to 313.66, 470.52 and 97.24 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.66 : 470.52 = 97.24 : x
  2. Step 2: Convert to fraction form
    313.66/470.52 = 97.24/x
  3. Step 3: Cross multiply
    313.66x = 470.52 × 97.24
  4. Step 4: Simplify right side
    313.66x = 45,750.53
  5. Step 5: Solve for x
    x = 45,750.53/313.66
  6. Step 6: Final answer
    x = 145.86

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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.