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Finding the Fourth Proportional to 261.28, 360.21 and 187.47

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Solution

The fourth proportional to 261.28, 360.21 and 187.47 is: 258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.28 : 360.21 = 187.47 : x
  2. Step 2: Convert to fraction form
    261.28/360.21 = 187.47/x
  3. Step 3: Cross multiply
    261.28x = 360.21 × 187.47
  4. Step 4: Simplify right side
    261.28x = 67,528.57
  5. Step 5: Solve for x
    x = 67,528.57/261.28
  6. Step 6: Final answer
    x = 258.45

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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.