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Finding the Fourth Proportional to 210.42, 290.38 and 117.17

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Solution

The fourth proportional to 210.42, 290.38 and 117.17 is: 161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.42 : 290.38 = 117.17 : x
  2. Step 2: Convert to fraction form
    210.42/290.38 = 117.17/x
  3. Step 3: Cross multiply
    210.42x = 290.38 × 117.17
  4. Step 4: Simplify right side
    210.42x = 34,023.88
  5. Step 5: Solve for x
    x = 34,023.88/210.42
  6. Step 6: Final answer
    x = 161.69

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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.