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Finding the Fourth Proportional to 316.50, 474.77 and 100.06

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Solution

The fourth proportional to 316.50, 474.77 and 100.06 is: 150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.50 : 474.77 = 100.06 : x
  2. Step 2: Convert to fraction form
    316.50/474.77 = 100.06/x
  3. Step 3: Cross multiply
    316.50x = 474.77 × 100.06
  4. Step 4: Simplify right side
    316.50x = 47,506.67
  5. Step 5: Solve for x
    x = 47,506.67/316.50
  6. Step 6: Final answer
    x = 150.10

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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.