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Finding the Fourth Proportional to 261.09, 360.56 and 168.06

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Solution

The fourth proportional to 261.09, 360.56 and 168.06 is: 232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.09 : 360.56 = 168.06 : x
  2. Step 2: Convert to fraction form
    261.09/360.56 = 168.06/x
  3. Step 3: Cross multiply
    261.09x = 360.56 × 168.06
  4. Step 4: Simplify right side
    261.09x = 60,594.87
  5. Step 5: Solve for x
    x = 60,594.87/261.09
  6. Step 6: Final answer
    x = 232.08

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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.