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Finding the Fourth Proportional to 210.85, 290.97 and 117.58

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Solution

The fourth proportional to 210.85, 290.97 and 117.58 is: 162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.85 : 290.97 = 117.58 : x
  2. Step 2: Convert to fraction form
    210.85/290.97 = 117.58/x
  3. Step 3: Cross multiply
    210.85x = 290.97 × 117.58
  4. Step 4: Simplify right side
    210.85x = 34,212.25
  5. Step 5: Solve for x
    x = 34,212.25/210.85
  6. Step 6: Final answer
    x = 162.26

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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.