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Finding the Fourth Proportional to 270.19, 372.86 and 165.26

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Solution

The fourth proportional to 270.19, 372.86 and 165.26 is: 228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.19 : 372.86 = 165.26 : x
  2. Step 2: Convert to fraction form
    270.19/372.86 = 165.26/x
  3. Step 3: Cross multiply
    270.19x = 372.86 × 165.26
  4. Step 4: Simplify right side
    270.19x = 61,618.84
  5. Step 5: Solve for x
    x = 61,618.84/270.19
  6. Step 6: Final answer
    x = 228.06

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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.