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Finding the Fourth Proportional to 264.88, 396.54 and 237.08

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Solution

The fourth proportional to 264.88, 396.54 and 237.08 is: 354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.88 : 396.54 = 237.08 : x
  2. Step 2: Convert to fraction form
    264.88/396.54 = 237.08/x
  3. Step 3: Cross multiply
    264.88x = 396.54 × 237.08
  4. Step 4: Simplify right side
    264.88x = 94,011.70
  5. Step 5: Solve for x
    x = 94,011.70/264.88
  6. Step 6: Final answer
    x = 354.92

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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.