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Finding the Fourth Proportional to 282.51, 389.15 and 235.87

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Solution

The fourth proportional to 282.51, 389.15 and 235.87 is: 324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.51 : 389.15 = 235.87 : x
  2. Step 2: Convert to fraction form
    282.51/389.15 = 235.87/x
  3. Step 3: Cross multiply
    282.51x = 389.15 × 235.87
  4. Step 4: Simplify right side
    282.51x = 91,788.81
  5. Step 5: Solve for x
    x = 91,788.81/282.51
  6. Step 6: Final answer
    x = 324.90

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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.