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Finding the Fourth Proportional to 261.68, 360.80 and 187.84

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Solution

The fourth proportional to 261.68, 360.80 and 187.84 is: 258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.68 : 360.80 = 187.84 : x
  2. Step 2: Convert to fraction form
    261.68/360.80 = 187.84/x
  3. Step 3: Cross multiply
    261.68x = 360.80 × 187.84
  4. Step 4: Simplify right side
    261.68x = 67,772.67
  5. Step 5: Solve for x
    x = 67,772.67/261.68
  6. Step 6: Final answer
    x = 258.99

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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.