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Finding the Fourth Proportional to 150.30, 224.39 and 128.64

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Solution

The fourth proportional to 150.30, 224.39 and 128.64 is: 192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.30 : 224.39 = 128.64 : x
  2. Step 2: Convert to fraction form
    150.30/224.39 = 128.64/x
  3. Step 3: Cross multiply
    150.30x = 224.39 × 128.64
  4. Step 4: Simplify right side
    150.30x = 28,863.93
  5. Step 5: Solve for x
    x = 28,863.93/150.30
  6. Step 6: Final answer
    x = 192.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.