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Finding the Fourth Proportional to 217.13, 299.63 and 159.01

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Solution

The fourth proportional to 217.13, 299.63 and 159.01 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.13 : 299.63 = 159.01 : x
  2. Step 2: Convert to fraction form
    217.13/299.63 = 159.01/x
  3. Step 3: Cross multiply
    217.13x = 299.63 × 159.01
  4. Step 4: Simplify right side
    217.13x = 47,643.81
  5. Step 5: Solve for x
    x = 47,643.81/217.13
  6. Step 6: Final answer
    x = 219.43

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Why These Related Problems?

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