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Finding the Fourth Proportional to 261.40, 360.71 and 150.91

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Solution

The fourth proportional to 261.40, 360.71 and 150.91 is: 208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.40 : 360.71 = 150.91 : x
  2. Step 2: Convert to fraction form
    261.40/360.71 = 150.91/x
  3. Step 3: Cross multiply
    261.40x = 360.71 × 150.91
  4. Step 4: Simplify right side
    261.40x = 54,434.75
  5. Step 5: Solve for x
    x = 54,434.75/261.40
  6. Step 6: Final answer
    x = 208.24

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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.