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Finding the Fourth Proportional to 217.83, 300.74 and 130.53

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Solution

The fourth proportional to 217.83, 300.74 and 130.53 is: 180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.83 : 300.74 = 130.53 : x
  2. Step 2: Convert to fraction form
    217.83/300.74 = 130.53/x
  3. Step 3: Cross multiply
    217.83x = 300.74 × 130.53
  4. Step 4: Simplify right side
    217.83x = 39,254.94
  5. Step 5: Solve for x
    x = 39,254.94/217.83
  6. Step 6: Final answer
    x = 180.21

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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.