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Finding the Fourth Proportional to 310.59, 465.21 and 147.78

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Solution

The fourth proportional to 310.59, 465.21 and 147.78 is: 221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.59 : 465.21 = 147.78 : x
  2. Step 2: Convert to fraction form
    310.59/465.21 = 147.78/x
  3. Step 3: Cross multiply
    310.59x = 465.21 × 147.78
  4. Step 4: Simplify right side
    310.59x = 68,748.73
  5. Step 5: Solve for x
    x = 68,748.73/310.59
  6. Step 6: Final answer
    x = 221.35

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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.