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Finding the Fourth Proportional to 218.10, 301 and 130.76

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Solution

The fourth proportional to 218.10, 301 and 130.76 is: 180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.10 : 301 = 130.76 : x
  2. Step 2: Convert to fraction form
    218.10/301 = 130.76/x
  3. Step 3: Cross multiply
    218.10x = 301 × 130.76
  4. Step 4: Simplify right side
    218.10x = 39,358.76
  5. Step 5: Solve for x
    x = 39,358.76/218.10
  6. Step 6: Final answer
    x = 180.46

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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.