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Finding the Fourth Proportional to 225.92, 312 and 206.48

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Solution

The fourth proportional to 225.92, 312 and 206.48 is: 285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.92 : 312 = 206.48 : x
  2. Step 2: Convert to fraction form
    225.92/312 = 206.48/x
  3. Step 3: Cross multiply
    225.92x = 312 × 206.48
  4. Step 4: Simplify right side
    225.92x = 64,421.76
  5. Step 5: Solve for x
    x = 64,421.76/225.92
  6. Step 6: Final answer
    x = 285.15

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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.