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Finding the Fourth Proportional to 264.47, 393.70 and 251.88

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Solution

The fourth proportional to 264.47, 393.70 and 251.88 is: 374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.47 : 393.70 = 251.88 : x
  2. Step 2: Convert to fraction form
    264.47/393.70 = 251.88/x
  3. Step 3: Cross multiply
    264.47x = 393.70 × 251.88
  4. Step 4: Simplify right side
    264.47x = 99,162.16
  5. Step 5: Solve for x
    x = 99,162.16/264.47
  6. Step 6: Final answer
    x = 374.95

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Why These Related Problems?

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