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Finding the Fourth Proportional to 340.15, 469.32 and 229.89

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Solution

The fourth proportional to 340.15, 469.32 and 229.89 is: 317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.15 : 469.32 = 229.89 : x
  2. Step 2: Convert to fraction form
    340.15/469.32 = 229.89/x
  3. Step 3: Cross multiply
    340.15x = 469.32 × 229.89
  4. Step 4: Simplify right side
    340.15x = 107,891.97
  5. Step 5: Solve for x
    x = 107,891.97/340.15
  6. Step 6: Final answer
    x = 317.19

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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.