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Finding the Fourth Proportional to 181.47, 270.98 and 144.50

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Solution

The fourth proportional to 181.47, 270.98 and 144.50 is: 215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.47 : 270.98 = 144.50 : x
  2. Step 2: Convert to fraction form
    181.47/270.98 = 144.50/x
  3. Step 3: Cross multiply
    181.47x = 270.98 × 144.50
  4. Step 4: Simplify right side
    181.47x = 39,154.53
  5. Step 5: Solve for x
    x = 39,154.53/181.47
  6. Step 6: Final answer
    x = 215.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.