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Finding the Fourth Proportional to 282.40, 389.66 and 166.02

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Solution

The fourth proportional to 282.40, 389.66 and 166.02 is: 229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.40 : 389.66 = 166.02 : x
  2. Step 2: Convert to fraction form
    282.40/389.66 = 166.02/x
  3. Step 3: Cross multiply
    282.40x = 389.66 × 166.02
  4. Step 4: Simplify right side
    282.40x = 64,691.35
  5. Step 5: Solve for x
    x = 64,691.35/282.40
  6. Step 6: Final answer
    x = 229.08

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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.