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Finding the Fourth Proportional to 213.77, 295.01 and 130.85

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Solution

The fourth proportional to 213.77, 295.01 and 130.85 is: 180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.77 : 295.01 = 130.85 : x
  2. Step 2: Convert to fraction form
    213.77/295.01 = 130.85/x
  3. Step 3: Cross multiply
    213.77x = 295.01 × 130.85
  4. Step 4: Simplify right side
    213.77x = 38,599.93
  5. Step 5: Solve for x
    x = 38,599.93/213.77
  6. Step 6: Final answer
    x = 180.57

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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.