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Finding the Fourth Proportional to 148.66, 223.00 and 51.16

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Solution

The fourth proportional to 148.66, 223.00 and 51.16 is: 76.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.66 : 223.00 = 51.16 : x
  2. Step 2: Convert to fraction form
    148.66/223.00 = 51.16/x
  3. Step 3: Cross multiply
    148.66x = 223.00 × 51.16
  4. Step 4: Simplify right side
    148.66x = 11,409.11
  5. Step 5: Solve for x
    x = 11,409.11/148.66
  6. Step 6: Final answer
    x = 76.75

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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.