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Finding the Fourth Proportional to 316.76, 436.74 and 229.40

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Solution

The fourth proportional to 316.76, 436.74 and 229.40 is: 316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.76 : 436.74 = 229.40 : x
  2. Step 2: Convert to fraction form
    316.76/436.74 = 229.40/x
  3. Step 3: Cross multiply
    316.76x = 436.74 × 229.40
  4. Step 4: Simplify right side
    316.76x = 100,188.16
  5. Step 5: Solve for x
    x = 100,188.16/316.76
  6. Step 6: Final answer
    x = 316.29

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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.