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Finding the Fourth Proportional to 261.60, 360.90 and 163.47

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Solution

The fourth proportional to 261.60, 360.90 and 163.47 is: 225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.60 : 360.90 = 163.47 : x
  2. Step 2: Convert to fraction form
    261.60/360.90 = 163.47/x
  3. Step 3: Cross multiply
    261.60x = 360.90 × 163.47
  4. Step 4: Simplify right side
    261.60x = 58,996.32
  5. Step 5: Solve for x
    x = 58,996.32/261.60
  6. Step 6: Final answer
    x = 225.52

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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.