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Finding the Fourth Proportional to 372.64, 558.74 and 167.10

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Solution

The fourth proportional to 372.64, 558.74 and 167.10 is: 250.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.64 : 558.74 = 167.10 : x
  2. Step 2: Convert to fraction form
    372.64/558.74 = 167.10/x
  3. Step 3: Cross multiply
    372.64x = 558.74 × 167.10
  4. Step 4: Simplify right side
    372.64x = 93,365.45
  5. Step 5: Solve for x
    x = 93,365.45/372.64
  6. Step 6: Final answer
    x = 250.55

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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.