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Finding the Fourth Proportional to 229.02, 315.90 and 151.38

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Solution

The fourth proportional to 229.02, 315.90 and 151.38 is: 208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.02 : 315.90 = 151.38 : x
  2. Step 2: Convert to fraction form
    229.02/315.90 = 151.38/x
  3. Step 3: Cross multiply
    229.02x = 315.90 × 151.38
  4. Step 4: Simplify right side
    229.02x = 47,820.94
  5. Step 5: Solve for x
    x = 47,820.94/229.02
  6. Step 6: Final answer
    x = 208.81

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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.