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Finding the Fourth Proportional to 261.68, 392.21 and 144.29

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Solution

The fourth proportional to 261.68, 392.21 and 144.29 is: 216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.68 : 392.21 = 144.29 : x
  2. Step 2: Convert to fraction form
    261.68/392.21 = 144.29/x
  3. Step 3: Cross multiply
    261.68x = 392.21 × 144.29
  4. Step 4: Simplify right side
    261.68x = 56,591.26
  5. Step 5: Solve for x
    x = 56,591.26/261.68
  6. Step 6: Final answer
    x = 216.27

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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.