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Finding the Fourth Proportional to 252.16, 378.06 and 149.20

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Solution

The fourth proportional to 252.16, 378.06 and 149.20 is: 223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.16 : 378.06 = 149.20 : x
  2. Step 2: Convert to fraction form
    252.16/378.06 = 149.20/x
  3. Step 3: Cross multiply
    252.16x = 378.06 × 149.20
  4. Step 4: Simplify right side
    252.16x = 56,406.55
  5. Step 5: Solve for x
    x = 56,406.55/252.16
  6. Step 6: Final answer
    x = 223.69

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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.