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Finding the Fourth Proportional to 261.53, 360.50 and 174.05

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Solution

The fourth proportional to 261.53, 360.50 and 174.05 is: 239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.53 : 360.50 = 174.05 : x
  2. Step 2: Convert to fraction form
    261.53/360.50 = 174.05/x
  3. Step 3: Cross multiply
    261.53x = 360.50 × 174.05
  4. Step 4: Simplify right side
    261.53x = 62,742.35
  5. Step 5: Solve for x
    x = 62,742.35/261.53
  6. Step 6: Final answer
    x = 239.91

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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.