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Finding the Fourth Proportional to 316.01, 474.15 and 153.70

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Solution

The fourth proportional to 316.01, 474.15 and 153.70 is: 230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.01 : 474.15 = 153.70 : x
  2. Step 2: Convert to fraction form
    316.01/474.15 = 153.70/x
  3. Step 3: Cross multiply
    316.01x = 474.15 × 153.70
  4. Step 4: Simplify right side
    316.01x = 72,874.48
  5. Step 5: Solve for x
    x = 72,874.48/316.01
  6. Step 6: Final answer
    x = 230.61

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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.