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Finding the Fourth Proportional to 316.66, 436.98 and 176.77

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Solution

The fourth proportional to 316.66, 436.98 and 176.77 is: 243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.66 : 436.98 = 176.77 : x
  2. Step 2: Convert to fraction form
    316.66/436.98 = 176.77/x
  3. Step 3: Cross multiply
    316.66x = 436.98 × 176.77
  4. Step 4: Simplify right side
    316.66x = 77,244.95
  5. Step 5: Solve for x
    x = 77,244.95/316.66
  6. Step 6: Final answer
    x = 243.94

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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.