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Finding the Fourth Proportional to 150.30, 225.45 and 77.40

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Solution

The fourth proportional to 150.30, 225.45 and 77.40 is: 116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.30 : 225.45 = 77.40 : x
  2. Step 2: Convert to fraction form
    150.30/225.45 = 77.40/x
  3. Step 3: Cross multiply
    150.30x = 225.45 × 77.40
  4. Step 4: Simplify right side
    150.30x = 17,449.83
  5. Step 5: Solve for x
    x = 17,449.83/150.30
  6. Step 6: Final answer
    x = 116.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.