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Finding the Fourth Proportional to 210.82, 317.39 and 194.08

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Solution

The fourth proportional to 210.82, 317.39 and 194.08 is: 292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.82 : 317.39 = 194.08 : x
  2. Step 2: Convert to fraction form
    210.82/317.39 = 194.08/x
  3. Step 3: Cross multiply
    210.82x = 317.39 × 194.08
  4. Step 4: Simplify right side
    210.82x = 61,599.05
  5. Step 5: Solve for x
    x = 61,599.05/210.82
  6. Step 6: Final answer
    x = 292.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.