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Finding the Fourth Proportional to 261.84, 361.80 and 215.76

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Solution

The fourth proportional to 261.84, 361.80 and 215.76 is: 298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.84 : 361.80 = 215.76 : x
  2. Step 2: Convert to fraction form
    261.84/361.80 = 215.76/x
  3. Step 3: Cross multiply
    261.84x = 361.80 × 215.76
  4. Step 4: Simplify right side
    261.84x = 78,061.97
  5. Step 5: Solve for x
    x = 78,061.97/261.84
  6. Step 6: Final answer
    x = 298.13

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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.