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Finding the Fourth Proportional to 261.14, 360.33 and 149.10

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Solution

The fourth proportional to 261.14, 360.33 and 149.10 is: 205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.14 : 360.33 = 149.10 : x
  2. Step 2: Convert to fraction form
    261.14/360.33 = 149.10/x
  3. Step 3: Cross multiply
    261.14x = 360.33 × 149.10
  4. Step 4: Simplify right side
    261.14x = 53,725.20
  5. Step 5: Solve for x
    x = 53,725.20/261.14
  6. Step 6: Final answer
    x = 205.74

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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.