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Finding the Fourth Proportional to 332.51, 498.56 and 167.81

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Solution

The fourth proportional to 332.51, 498.56 and 167.81 is: 251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.51 : 498.56 = 167.81 : x
  2. Step 2: Convert to fraction form
    332.51/498.56 = 167.81/x
  3. Step 3: Cross multiply
    332.51x = 498.56 × 167.81
  4. Step 4: Simplify right side
    332.51x = 83,660.02
  5. Step 5: Solve for x
    x = 83,660.02/332.51
  6. Step 6: Final answer
    x = 251.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.