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Finding the Fourth Proportional to 210.68, 290.43 and 151.65

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Solution

The fourth proportional to 210.68, 290.43 and 151.65 is: 209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.68 : 290.43 = 151.65 : x
  2. Step 2: Convert to fraction form
    210.68/290.43 = 151.65/x
  3. Step 3: Cross multiply
    210.68x = 290.43 × 151.65
  4. Step 4: Simplify right side
    210.68x = 44,043.71
  5. Step 5: Solve for x
    x = 44,043.71/210.68
  6. Step 6: Final answer
    x = 209.06

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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.