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Finding the Fourth Proportional to 316.52, 474.73 and 100.07

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Solution

The fourth proportional to 316.52, 474.73 and 100.07 is: 150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.52 : 474.73 = 100.07 : x
  2. Step 2: Convert to fraction form
    316.52/474.73 = 100.07/x
  3. Step 3: Cross multiply
    316.52x = 474.73 × 100.07
  4. Step 4: Simplify right side
    316.52x = 47,503.36
  5. Step 5: Solve for x
    x = 47,503.36/316.52
  6. Step 6: Final answer
    x = 150.08

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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.