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Finding the Fourth Proportional to 372.25, 558.51 and 180.01

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Solution

The fourth proportional to 372.25, 558.51 and 180.01 is: 270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.25 : 558.51 = 180.01 : x
  2. Step 2: Convert to fraction form
    372.25/558.51 = 180.01/x
  3. Step 3: Cross multiply
    372.25x = 558.51 × 180.01
  4. Step 4: Simplify right side
    372.25x = 100,537.39
  5. Step 5: Solve for x
    x = 100,537.39/372.25
  6. Step 6: Final answer
    x = 270.08

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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.