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Finding the Fourth Proportional to 316.40, 474.62 and 99.96

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Solution

The fourth proportional to 316.40, 474.62 and 99.96 is: 149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.40 : 474.62 = 99.96 : x
  2. Step 2: Convert to fraction form
    316.40/474.62 = 99.96/x
  3. Step 3: Cross multiply
    316.40x = 474.62 × 99.96
  4. Step 4: Simplify right side
    316.40x = 47,443.02
  5. Step 5: Solve for x
    x = 47,443.02/316.40
  6. Step 6: Final answer
    x = 149.95

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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.