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Finding the Fourth Proportional to 261.19, 360.44 and 149.16

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Solution

The fourth proportional to 261.19, 360.44 and 149.16 is: 205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.19 : 360.44 = 149.16 : x
  2. Step 2: Convert to fraction form
    261.19/360.44 = 149.16/x
  3. Step 3: Cross multiply
    261.19x = 360.44 × 149.16
  4. Step 4: Simplify right side
    261.19x = 53,761.80
  5. Step 5: Solve for x
    x = 53,761.80/261.19
  6. Step 6: Final answer
    x = 205.83

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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.