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Finding the Fourth Proportional to 148.28, 222.43 and 52.10

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Solution

The fourth proportional to 148.28, 222.43 and 52.10 is: 78.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.28 : 222.43 = 52.10 : x
  2. Step 2: Convert to fraction form
    148.28/222.43 = 52.10/x
  3. Step 3: Cross multiply
    148.28x = 222.43 × 52.10
  4. Step 4: Simplify right side
    148.28x = 11,588.60
  5. Step 5: Solve for x
    x = 11,588.60/148.28
  6. Step 6: Final answer
    x = 78.15

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Why These Related Problems?

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