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Finding the Fourth Proportional to 217.99, 300.86 and 130.65

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Solution

The fourth proportional to 217.99, 300.86 and 130.65 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.99 : 300.86 = 130.65 : x
  2. Step 2: Convert to fraction form
    217.99/300.86 = 130.65/x
  3. Step 3: Cross multiply
    217.99x = 300.86 × 130.65
  4. Step 4: Simplify right side
    217.99x = 39,307.36
  5. Step 5: Solve for x
    x = 39,307.36/217.99
  6. Step 6: Final answer
    x = 180.32

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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.