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Finding the Fourth Proportional to 312.39, 468.40 and 147.90

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Solution

The fourth proportional to 312.39, 468.40 and 147.90 is: 221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.39 : 468.40 = 147.90 : x
  2. Step 2: Convert to fraction form
    312.39/468.40 = 147.90/x
  3. Step 3: Cross multiply
    312.39x = 468.40 × 147.90
  4. Step 4: Simplify right side
    312.39x = 69,276.71
  5. Step 5: Solve for x
    x = 69,276.71/312.39
  6. Step 6: Final answer
    x = 221.76

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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.