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Finding the Fourth Proportional to 229, 315.76 and 146.11

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Solution

The fourth proportional to 229, 315.76 and 146.11 is: 201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229 : 315.76 = 146.11 : x
  2. Step 2: Convert to fraction form
    229/315.76 = 146.11/x
  3. Step 3: Cross multiply
    229x = 315.76 × 146.11
  4. Step 4: Simplify right side
    229x = 46,135.69
  5. Step 5: Solve for x
    x = 46,135.69/229
  6. Step 6: Final answer
    x = 201.47

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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.