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Finding the Fourth Proportional to 148.10, 223.01 and 132

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Solution

The fourth proportional to 148.10, 223.01 and 132 is: 198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.10 : 223.01 = 132 : x
  2. Step 2: Convert to fraction form
    148.10/223.01 = 132/x
  3. Step 3: Cross multiply
    148.10x = 223.01 × 132
  4. Step 4: Simplify right side
    148.10x = 29,437.32
  5. Step 5: Solve for x
    x = 29,437.32/148.10
  6. Step 6: Final answer
    x = 198.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.