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Finding the Fourth Proportional to 316.58, 436.86 and 176.71

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Solution

The fourth proportional to 316.58, 436.86 and 176.71 is: 243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.58 : 436.86 = 176.71 : x
  2. Step 2: Convert to fraction form
    316.58/436.86 = 176.71/x
  3. Step 3: Cross multiply
    316.58x = 436.86 × 176.71
  4. Step 4: Simplify right side
    316.58x = 77,197.53
  5. Step 5: Solve for x
    x = 77,197.53/316.58
  6. Step 6: Final answer
    x = 243.85

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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.