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Finding the Fourth Proportional to 181.42, 271.58 and 135.02

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Solution

The fourth proportional to 181.42, 271.58 and 135.02 is: 202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.42 : 271.58 = 135.02 : x
  2. Step 2: Convert to fraction form
    181.42/271.58 = 135.02/x
  3. Step 3: Cross multiply
    181.42x = 271.58 × 135.02
  4. Step 4: Simplify right side
    181.42x = 36,668.74
  5. Step 5: Solve for x
    x = 36,668.74/181.42
  6. Step 6: Final answer
    x = 202.12

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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.