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Finding the Fourth Proportional to 150.69, 224.95 and 127.65

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Solution

The fourth proportional to 150.69, 224.95 and 127.65 is: 190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.69 : 224.95 = 127.65 : x
  2. Step 2: Convert to fraction form
    150.69/224.95 = 127.65/x
  3. Step 3: Cross multiply
    150.69x = 224.95 × 127.65
  4. Step 4: Simplify right side
    150.69x = 28,714.55
  5. Step 5: Solve for x
    x = 28,714.55/150.69
  6. Step 6: Final answer
    x = 190.55

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