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Finding the Fourth Proportional to 282.01, 389.19 and 177.10

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Solution

The fourth proportional to 282.01, 389.19 and 177.10 is: 244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.01 : 389.19 = 177.10 : x
  2. Step 2: Convert to fraction form
    282.01/389.19 = 177.10/x
  3. Step 3: Cross multiply
    282.01x = 389.19 × 177.10
  4. Step 4: Simplify right side
    282.01x = 68,924.66
  5. Step 5: Solve for x
    x = 68,924.66/282.01
  6. Step 6: Final answer
    x = 244.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.