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Finding the Fourth Proportional to 372.84, 559.14 and 175.11

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Solution

The fourth proportional to 372.84, 559.14 and 175.11 is: 262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.84 : 559.14 = 175.11 : x
  2. Step 2: Convert to fraction form
    372.84/559.14 = 175.11/x
  3. Step 3: Cross multiply
    372.84x = 559.14 × 175.11
  4. Step 4: Simplify right side
    372.84x = 97,911.01
  5. Step 5: Solve for x
    x = 97,911.01/372.84
  6. Step 6: Final answer
    x = 262.61

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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.