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Finding the Fourth Proportional to 148.93, 222.32 and 118.45

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Solution

The fourth proportional to 148.93, 222.32 and 118.45 is: 176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.93 : 222.32 = 118.45 : x
  2. Step 2: Convert to fraction form
    148.93/222.32 = 118.45/x
  3. Step 3: Cross multiply
    148.93x = 222.32 × 118.45
  4. Step 4: Simplify right side
    148.93x = 26,333.80
  5. Step 5: Solve for x
    x = 26,333.80/148.93
  6. Step 6: Final answer
    x = 176.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.