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Finding the Fourth Proportional to 284.14, 425.75 and 175.70

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Solution

The fourth proportional to 284.14, 425.75 and 175.70 is: 263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.14 : 425.75 = 175.70 : x
  2. Step 2: Convert to fraction form
    284.14/425.75 = 175.70/x
  3. Step 3: Cross multiply
    284.14x = 425.75 × 175.70
  4. Step 4: Simplify right side
    284.14x = 74,804.28
  5. Step 5: Solve for x
    x = 74,804.28/284.14
  6. Step 6: Final answer
    x = 263.27

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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.