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Finding the Fourth Proportional to 264.54, 396.78 and 148.92

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Solution

The fourth proportional to 264.54, 396.78 and 148.92 is: 223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.54 : 396.78 = 148.92 : x
  2. Step 2: Convert to fraction form
    264.54/396.78 = 148.92/x
  3. Step 3: Cross multiply
    264.54x = 396.78 × 148.92
  4. Step 4: Simplify right side
    264.54x = 59,088.48
  5. Step 5: Solve for x
    x = 59,088.48/264.54
  6. Step 6: Final answer
    x = 223.36

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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.