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Finding the Fourth Proportional to 313.62, 470.28 and 97.14

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Solution

The fourth proportional to 313.62, 470.28 and 97.14 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.62 : 470.28 = 97.14 : x
  2. Step 2: Convert to fraction form
    313.62/470.28 = 97.14/x
  3. Step 3: Cross multiply
    313.62x = 470.28 × 97.14
  4. Step 4: Simplify right side
    313.62x = 45,683.00
  5. Step 5: Solve for x
    x = 45,683.00/313.62
  6. Step 6: Final answer
    x = 145.66

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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.