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Finding the Fourth Proportional to 210.24, 290.06 and 121.72

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Solution

The fourth proportional to 210.24, 290.06 and 121.72 is: 167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.24 : 290.06 = 121.72 : x
  2. Step 2: Convert to fraction form
    210.24/290.06 = 121.72/x
  3. Step 3: Cross multiply
    210.24x = 290.06 × 121.72
  4. Step 4: Simplify right side
    210.24x = 35,306.10
  5. Step 5: Solve for x
    x = 35,306.10/210.24
  6. Step 6: Final answer
    x = 167.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.