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Finding the Fourth Proportional to 284.29, 425.82 and 175.75

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Solution

The fourth proportional to 284.29, 425.82 and 175.75 is: 263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.29 : 425.82 = 175.75 : x
  2. Step 2: Convert to fraction form
    284.29/425.82 = 175.75/x
  3. Step 3: Cross multiply
    284.29x = 425.82 × 175.75
  4. Step 4: Simplify right side
    284.29x = 74,837.46
  5. Step 5: Solve for x
    x = 74,837.46/284.29
  6. Step 6: Final answer
    x = 263.25

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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.