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Finding the Fourth Proportional to 270.26, 372.94 and 152.23

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Solution

The fourth proportional to 270.26, 372.94 and 152.23 is: 210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.26 : 372.94 = 152.23 : x
  2. Step 2: Convert to fraction form
    270.26/372.94 = 152.23/x
  3. Step 3: Cross multiply
    270.26x = 372.94 × 152.23
  4. Step 4: Simplify right side
    270.26x = 56,772.56
  5. Step 5: Solve for x
    x = 56,772.56/270.26
  6. Step 6: Final answer
    x = 210.07

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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.