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Finding the Fourth Proportional to 228.23, 315.11 and 150.65

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Solution

The fourth proportional to 228.23, 315.11 and 150.65 is: 208.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.23 : 315.11 = 150.65 : x
  2. Step 2: Convert to fraction form
    228.23/315.11 = 150.65/x
  3. Step 3: Cross multiply
    228.23x = 315.11 × 150.65
  4. Step 4: Simplify right side
    228.23x = 47,472.49
  5. Step 5: Solve for x
    x = 47,472.49/228.23
  6. Step 6: Final answer
    x = 208.00

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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.