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Finding the Fourth Proportional to 210.25, 290.17 and 117.01

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Solution

The fourth proportional to 210.25, 290.17 and 117.01 is: 161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.25 : 290.17 = 117.01 : x
  2. Step 2: Convert to fraction form
    210.25/290.17 = 117.01/x
  3. Step 3: Cross multiply
    210.25x = 290.17 × 117.01
  4. Step 4: Simplify right side
    210.25x = 33,950.76
  5. Step 5: Solve for x
    x = 33,950.76/210.25
  6. Step 6: Final answer
    x = 161.48

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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.