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Finding the Fourth Proportional to 308.35, 462.15 and 178.10

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Solution

The fourth proportional to 308.35, 462.15 and 178.10 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.35 : 462.15 = 178.10 : x
  2. Step 2: Convert to fraction form
    308.35/462.15 = 178.10/x
  3. Step 3: Cross multiply
    308.35x = 462.15 × 178.10
  4. Step 4: Simplify right side
    308.35x = 82,308.34
  5. Step 5: Solve for x
    x = 82,308.34/308.35
  6. Step 6: Final answer
    x = 266.93

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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.