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Finding the Fourth Proportional to 282.29, 389.79 and 177.55

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Solution

The fourth proportional to 282.29, 389.79 and 177.55 is: 245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.29 : 389.79 = 177.55 : x
  2. Step 2: Convert to fraction form
    282.29/389.79 = 177.55/x
  3. Step 3: Cross multiply
    282.29x = 389.79 × 177.55
  4. Step 4: Simplify right side
    282.29x = 69,207.21
  5. Step 5: Solve for x
    x = 69,207.21/282.29
  6. Step 6: Final answer
    x = 245.16

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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.