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Finding the Fourth Proportional to 150.28, 224.29 and 146.32

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Solution

The fourth proportional to 150.28, 224.29 and 146.32 is: 218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.28 : 224.29 = 146.32 : x
  2. Step 2: Convert to fraction form
    150.28/224.29 = 146.32/x
  3. Step 3: Cross multiply
    150.28x = 224.29 × 146.32
  4. Step 4: Simplify right side
    150.28x = 32,818.11
  5. Step 5: Solve for x
    x = 32,818.11/150.28
  6. Step 6: Final answer
    x = 218.38

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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.