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Finding the Fourth Proportional to 308.18, 462.29 and 102.77

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Solution

The fourth proportional to 308.18, 462.29 and 102.77 is: 154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.18 : 462.29 = 102.77 : x
  2. Step 2: Convert to fraction form
    308.18/462.29 = 102.77/x
  3. Step 3: Cross multiply
    308.18x = 462.29 × 102.77
  4. Step 4: Simplify right side
    308.18x = 47,509.54
  5. Step 5: Solve for x
    x = 47,509.54/308.18
  6. Step 6: Final answer
    x = 154.16

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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.