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Finding the Fourth Proportional to 316.47, 436.76 and 176.65

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Solution

The fourth proportional to 316.47, 436.76 and 176.65 is: 243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.47 : 436.76 = 176.65 : x
  2. Step 2: Convert to fraction form
    316.47/436.76 = 176.65/x
  3. Step 3: Cross multiply
    316.47x = 436.76 × 176.65
  4. Step 4: Simplify right side
    316.47x = 77,152.34
  5. Step 5: Solve for x
    x = 77,152.34/316.47
  6. Step 6: Final answer
    x = 243.79

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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.