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Finding the Fourth Proportional to 181.64, 250.59 and 137.52

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Solution

The fourth proportional to 181.64, 250.59 and 137.52 is: 189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.64 : 250.59 = 137.52 : x
  2. Step 2: Convert to fraction form
    181.64/250.59 = 137.52/x
  3. Step 3: Cross multiply
    181.64x = 250.59 × 137.52
  4. Step 4: Simplify right side
    181.64x = 34,461.14
  5. Step 5: Solve for x
    x = 34,461.14/181.64
  6. Step 6: Final answer
    x = 189.72

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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.