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Finding the Fourth Proportional to 148.58, 204.85 and 129.83

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Solution

The fourth proportional to 148.58, 204.85 and 129.83 is: 179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.58 : 204.85 = 129.83 : x
  2. Step 2: Convert to fraction form
    148.58/204.85 = 129.83/x
  3. Step 3: Cross multiply
    148.58x = 204.85 × 129.83
  4. Step 4: Simplify right side
    148.58x = 26,594.33
  5. Step 5: Solve for x
    x = 26,594.33/148.58
  6. Step 6: Final answer
    x = 179.00

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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.