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Finding the Fourth Proportional to 228.32, 315.10 and 207.67

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Solution

The fourth proportional to 228.32, 315.10 and 207.67 is: 286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.32 : 315.10 = 207.67 : x
  2. Step 2: Convert to fraction form
    228.32/315.10 = 207.67/x
  3. Step 3: Cross multiply
    228.32x = 315.10 × 207.67
  4. Step 4: Simplify right side
    228.32x = 65,435.24
  5. Step 5: Solve for x
    x = 65,435.24/228.32
  6. Step 6: Final answer
    x = 286.59

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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.