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Finding the Fourth Proportional to 150.10, 224.08 and 127.03

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Solution

The fourth proportional to 150.10, 224.08 and 127.03 is: 189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.10 : 224.08 = 127.03 : x
  2. Step 2: Convert to fraction form
    150.10/224.08 = 127.03/x
  3. Step 3: Cross multiply
    150.10x = 224.08 × 127.03
  4. Step 4: Simplify right side
    150.10x = 28,466.03
  5. Step 5: Solve for x
    x = 28,466.03/150.10
  6. Step 6: Final answer
    x = 189.65

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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.