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Finding the Fourth Proportional to 316.29, 436.49 and 176.42

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Solution

The fourth proportional to 316.29, 436.49 and 176.42 is: 243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.29 : 436.49 = 176.42 : x
  2. Step 2: Convert to fraction form
    316.29/436.49 = 176.42/x
  3. Step 3: Cross multiply
    316.29x = 436.49 × 176.42
  4. Step 4: Simplify right side
    316.29x = 77,005.57
  5. Step 5: Solve for x
    x = 77,005.57/316.29
  6. Step 6: Final answer
    x = 243.47

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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.