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Finding the Fourth Proportional to 182.24, 250.96 and 155.91

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Solution

The fourth proportional to 182.24, 250.96 and 155.91 is: 214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.24 : 250.96 = 155.91 : x
  2. Step 2: Convert to fraction form
    182.24/250.96 = 155.91/x
  3. Step 3: Cross multiply
    182.24x = 250.96 × 155.91
  4. Step 4: Simplify right side
    182.24x = 39,127.17
  5. Step 5: Solve for x
    x = 39,127.17/182.24
  6. Step 6: Final answer
    x = 214.70

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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.