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Finding the Fourth Proportional to 372.57, 514.16 and 215.25

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Solution

The fourth proportional to 372.57, 514.16 and 215.25 is: 297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.57 : 514.16 = 215.25 : x
  2. Step 2: Convert to fraction form
    372.57/514.16 = 215.25/x
  3. Step 3: Cross multiply
    372.57x = 514.16 × 215.25
  4. Step 4: Simplify right side
    372.57x = 110,671.86
  5. Step 5: Solve for x
    x = 110,671.86/372.57
  6. Step 6: Final answer
    x = 297.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.