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Finding the Fourth Proportional to 210.72, 290.82 and 151.69

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Solution

The fourth proportional to 210.72, 290.82 and 151.69 is: 209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.72 : 290.82 = 151.69 : x
  2. Step 2: Convert to fraction form
    210.72/290.82 = 151.69/x
  3. Step 3: Cross multiply
    210.72x = 290.82 × 151.69
  4. Step 4: Simplify right side
    210.72x = 44,114.49
  5. Step 5: Solve for x
    x = 44,114.49/210.72
  6. Step 6: Final answer
    x = 209.35

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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.