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Finding the Fourth Proportional to 182.24, 251.49 and 99.35

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Solution

The fourth proportional to 182.24, 251.49 and 99.35 is: 137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.24 : 251.49 = 99.35 : x
  2. Step 2: Convert to fraction form
    182.24/251.49 = 99.35/x
  3. Step 3: Cross multiply
    182.24x = 251.49 × 99.35
  4. Step 4: Simplify right side
    182.24x = 24,985.92
  5. Step 5: Solve for x
    x = 24,985.92/182.24
  6. Step 6: Final answer
    x = 137.10

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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.