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Finding the Fourth Proportional to 210.95, 316.29 and 194.48

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Solution

The fourth proportional to 210.95, 316.29 and 194.48 is: 291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.95 : 316.29 = 194.48 : x
  2. Step 2: Convert to fraction form
    210.95/316.29 = 194.48/x
  3. Step 3: Cross multiply
    210.95x = 316.29 × 194.48
  4. Step 4: Simplify right side
    210.95x = 61,512.08
  5. Step 5: Solve for x
    x = 61,512.08/210.95
  6. Step 6: Final answer
    x = 291.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.