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Finding the Fourth Proportional to 242.72, 362.62 and 181.64

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Solution

The fourth proportional to 242.72, 362.62 and 181.64 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.72 : 362.62 = 181.64 : x
  2. Step 2: Convert to fraction form
    242.72/362.62 = 181.64/x
  3. Step 3: Cross multiply
    242.72x = 362.62 × 181.64
  4. Step 4: Simplify right side
    242.72x = 65,866.30
  5. Step 5: Solve for x
    x = 65,866.30/242.72
  6. Step 6: Final answer
    x = 271.37

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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.