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Finding the Fourth Proportional to 213.53, 294.67 and 130.64

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Solution

The fourth proportional to 213.53, 294.67 and 130.64 is: 180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.53 : 294.67 = 130.64 : x
  2. Step 2: Convert to fraction form
    213.53/294.67 = 130.64/x
  3. Step 3: Cross multiply
    213.53x = 294.67 × 130.64
  4. Step 4: Simplify right side
    213.53x = 38,495.69
  5. Step 5: Solve for x
    x = 38,495.69/213.53
  6. Step 6: Final answer
    x = 180.28

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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.