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Finding the Fourth Proportional to 316.06, 436.04 and 211.18

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Solution

The fourth proportional to 316.06, 436.04 and 211.18 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.06 : 436.04 = 211.18 : x
  2. Step 2: Convert to fraction form
    316.06/436.04 = 211.18/x
  3. Step 3: Cross multiply
    316.06x = 436.04 × 211.18
  4. Step 4: Simplify right side
    316.06x = 92,082.93
  5. Step 5: Solve for x
    x = 92,082.93/316.06
  6. Step 6: Final answer
    x = 291.35

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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.