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Finding the Fourth Proportional to 372.98, 558.72 and 178.17

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Solution

The fourth proportional to 372.98, 558.72 and 178.17 is: 266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.98 : 558.72 = 178.17 : x
  2. Step 2: Convert to fraction form
    372.98/558.72 = 178.17/x
  3. Step 3: Cross multiply
    372.98x = 558.72 × 178.17
  4. Step 4: Simplify right side
    372.98x = 99,547.14
  5. Step 5: Solve for x
    x = 99,547.14/372.98
  6. Step 6: Final answer
    x = 266.90

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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.