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Finding the Fourth Proportional to 180.47, 248.90 and 155.61

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Solution

The fourth proportional to 180.47, 248.90 and 155.61 is: 214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.47 : 248.90 = 155.61 : x
  2. Step 2: Convert to fraction form
    180.47/248.90 = 155.61/x
  3. Step 3: Cross multiply
    180.47x = 248.90 × 155.61
  4. Step 4: Simplify right side
    180.47x = 38,731.33
  5. Step 5: Solve for x
    x = 38,731.33/180.47
  6. Step 6: Final answer
    x = 214.62

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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.