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Finding the Fourth Proportional to 261.02, 360.03 and 173.84

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Solution

The fourth proportional to 261.02, 360.03 and 173.84 is: 239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.02 : 360.03 = 173.84 : x
  2. Step 2: Convert to fraction form
    261.02/360.03 = 173.84/x
  3. Step 3: Cross multiply
    261.02x = 360.03 × 173.84
  4. Step 4: Simplify right side
    261.02x = 62,587.62
  5. Step 5: Solve for x
    x = 62,587.62/261.02
  6. Step 6: Final answer
    x = 239.78

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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.