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Finding the Fourth Proportional to 316.50, 474.67 and 100.08

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Solution

The fourth proportional to 316.50, 474.67 and 100.08 is: 150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.50 : 474.67 = 100.08 : x
  2. Step 2: Convert to fraction form
    316.50/474.67 = 100.08/x
  3. Step 3: Cross multiply
    316.50x = 474.67 × 100.08
  4. Step 4: Simplify right side
    316.50x = 47,502.10
  5. Step 5: Solve for x
    x = 47,502.10/316.50
  6. Step 6: Final answer
    x = 150.09

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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.