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Finding the Fourth Proportional to 270.24, 372.54 and 187.22

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Solution

The fourth proportional to 270.24, 372.54 and 187.22 is: 258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.24 : 372.54 = 187.22 : x
  2. Step 2: Convert to fraction form
    270.24/372.54 = 187.22/x
  3. Step 3: Cross multiply
    270.24x = 372.54 × 187.22
  4. Step 4: Simplify right side
    270.24x = 69,746.94
  5. Step 5: Solve for x
    x = 69,746.94/270.24
  6. Step 6: Final answer
    x = 258.09

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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.