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Finding the Fourth Proportional to 150.16, 207.19 and 84.65

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Solution

The fourth proportional to 150.16, 207.19 and 84.65 is: 116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.16 : 207.19 = 84.65 : x
  2. Step 2: Convert to fraction form
    150.16/207.19 = 84.65/x
  3. Step 3: Cross multiply
    150.16x = 207.19 × 84.65
  4. Step 4: Simplify right side
    150.16x = 17,538.63
  5. Step 5: Solve for x
    x = 17,538.63/150.16
  6. Step 6: Final answer
    x = 116.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.