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Finding the Fourth Proportional to 282.47, 389.58 and 189.18

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Solution

The fourth proportional to 282.47, 389.58 and 189.18 is: 260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.47 : 389.58 = 189.18 : x
  2. Step 2: Convert to fraction form
    282.47/389.58 = 189.18/x
  3. Step 3: Cross multiply
    282.47x = 389.58 × 189.18
  4. Step 4: Simplify right side
    282.47x = 73,700.74
  5. Step 5: Solve for x
    x = 73,700.74/282.47
  6. Step 6: Final answer
    x = 260.92

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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.