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Finding the Fourth Proportional to 244.90, 366.54 and 148.78

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Solution

The fourth proportional to 244.90, 366.54 and 148.78 is: 222.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.90 : 366.54 = 148.78 : x
  2. Step 2: Convert to fraction form
    244.90/366.54 = 148.78/x
  3. Step 3: Cross multiply
    244.90x = 366.54 × 148.78
  4. Step 4: Simplify right side
    244.90x = 54,533.82
  5. Step 5: Solve for x
    x = 54,533.82/244.90
  6. Step 6: Final answer
    x = 222.68

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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.