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Finding the Fourth Proportional to 213.26, 294.34 and 130.42

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Solution

The fourth proportional to 213.26, 294.34 and 130.42 is: 180.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.26 : 294.34 = 130.42 : x
  2. Step 2: Convert to fraction form
    213.26/294.34 = 130.42/x
  3. Step 3: Cross multiply
    213.26x = 294.34 × 130.42
  4. Step 4: Simplify right side
    213.26x = 38,386.35
  5. Step 5: Solve for x
    x = 38,386.35/213.26
  6. Step 6: Final answer
    x = 180.00

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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.