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Finding the Fourth Proportional to 285, 392.94 and 250.38

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Solution

The fourth proportional to 285, 392.94 and 250.38 is: 345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285 : 392.94 = 250.38 : x
  2. Step 2: Convert to fraction form
    285/392.94 = 250.38/x
  3. Step 3: Cross multiply
    285x = 392.94 × 250.38
  4. Step 4: Simplify right side
    285x = 98,384.32
  5. Step 5: Solve for x
    x = 98,384.32/285
  6. Step 6: Final answer
    x = 345.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.