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Finding the Fourth Proportional to 289.97, 435.09 and 160.07

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Solution

The fourth proportional to 289.97, 435.09 and 160.07 is: 240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.97 : 435.09 = 160.07 : x
  2. Step 2: Convert to fraction form
    289.97/435.09 = 160.07/x
  3. Step 3: Cross multiply
    289.97x = 435.09 × 160.07
  4. Step 4: Simplify right side
    289.97x = 69,642.68
  5. Step 5: Solve for x
    x = 69,642.68/289.97
  6. Step 6: Final answer
    x = 240.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.