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Finding the Fourth Proportional to 214.65, 295.99 and 209.62

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Solution

The fourth proportional to 214.65, 295.99 and 209.62 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.65 : 295.99 = 209.62 : x
  2. Step 2: Convert to fraction form
    214.65/295.99 = 209.62/x
  3. Step 3: Cross multiply
    214.65x = 295.99 × 209.62
  4. Step 4: Simplify right side
    214.65x = 62,045.27
  5. Step 5: Solve for x
    x = 62,045.27/214.65
  6. Step 6: Final answer
    x = 289.05

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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.