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Finding the Fourth Proportional to 282.60, 389.75 and 227.32

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Solution

The fourth proportional to 282.60, 389.75 and 227.32 is: 313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.60 : 389.75 = 227.32 : x
  2. Step 2: Convert to fraction form
    282.60/389.75 = 227.32/x
  3. Step 3: Cross multiply
    282.60x = 389.75 × 227.32
  4. Step 4: Simplify right side
    282.60x = 88,595.86
  5. Step 5: Solve for x
    x = 88,595.86/282.60
  6. Step 6: Final answer
    x = 313.50

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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.