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Finding the Fourth Proportional to 145.28, 218.99 and 130.40

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Solution

The fourth proportional to 145.28, 218.99 and 130.40 is: 196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.28 : 218.99 = 130.40 : x
  2. Step 2: Convert to fraction form
    145.28/218.99 = 130.40/x
  3. Step 3: Cross multiply
    145.28x = 218.99 × 130.40
  4. Step 4: Simplify right side
    145.28x = 28,556.30
  5. Step 5: Solve for x
    x = 28,556.30/145.28
  6. Step 6: Final answer
    x = 196.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.