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Finding the Fourth Proportional to 341.15, 470.54 and 229.16

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Solution

The fourth proportional to 341.15, 470.54 and 229.16 is: 316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.15 : 470.54 = 229.16 : x
  2. Step 2: Convert to fraction form
    341.15/470.54 = 229.16/x
  3. Step 3: Cross multiply
    341.15x = 470.54 × 229.16
  4. Step 4: Simplify right side
    341.15x = 107,830.70
  5. Step 5: Solve for x
    x = 107,830.70/341.15
  6. Step 6: Final answer
    x = 316.08

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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.