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Finding the Fourth Proportional to 182.04, 250.76 and 155.61

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Solution

The fourth proportional to 182.04, 250.76 and 155.61 is: 214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.04 : 250.76 = 155.61 : x
  2. Step 2: Convert to fraction form
    182.04/250.76 = 155.61/x
  3. Step 3: Cross multiply
    182.04x = 250.76 × 155.61
  4. Step 4: Simplify right side
    182.04x = 39,020.76
  5. Step 5: Solve for x
    x = 39,020.76/182.04
  6. Step 6: Final answer
    x = 214.35

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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.