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Finding the Fourth Proportional to 229.69, 317.02 and 146.90

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Solution

The fourth proportional to 229.69, 317.02 and 146.90 is: 202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.69 : 317.02 = 146.90 : x
  2. Step 2: Convert to fraction form
    229.69/317.02 = 146.90/x
  3. Step 3: Cross multiply
    229.69x = 317.02 × 146.90
  4. Step 4: Simplify right side
    229.69x = 46,570.24
  5. Step 5: Solve for x
    x = 46,570.24/229.69
  6. Step 6: Final answer
    x = 202.75

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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.