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Finding the Fourth Proportional to 261.98, 361.54 and 176.92

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Solution

The fourth proportional to 261.98, 361.54 and 176.92 is: 244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.98 : 361.54 = 176.92 : x
  2. Step 2: Convert to fraction form
    261.98/361.54 = 176.92/x
  3. Step 3: Cross multiply
    261.98x = 361.54 × 176.92
  4. Step 4: Simplify right side
    261.98x = 63,962.77
  5. Step 5: Solve for x
    x = 63,962.77/261.98
  6. Step 6: Final answer
    x = 244.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.