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Finding the Fourth Proportional to 270.25, 372.91 and 152.21

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Solution

The fourth proportional to 270.25, 372.91 and 152.21 is: 210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.25 : 372.91 = 152.21 : x
  2. Step 2: Convert to fraction form
    270.25/372.91 = 152.21/x
  3. Step 3: Cross multiply
    270.25x = 372.91 × 152.21
  4. Step 4: Simplify right side
    270.25x = 56,760.63
  5. Step 5: Solve for x
    x = 56,760.63/270.25
  6. Step 6: Final answer
    x = 210.03

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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.