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Finding the Fourth Proportional to 181.72, 272.52 and 145.70

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Solution

The fourth proportional to 181.72, 272.52 and 145.70 is: 218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.72 : 272.52 = 145.70 : x
  2. Step 2: Convert to fraction form
    181.72/272.52 = 145.70/x
  3. Step 3: Cross multiply
    181.72x = 272.52 × 145.70
  4. Step 4: Simplify right side
    181.72x = 39,706.16
  5. Step 5: Solve for x
    x = 39,706.16/181.72
  6. Step 6: Final answer
    x = 218.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.