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Finding the Fourth Proportional to 272.07, 375.53 and 165.76

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Solution

The fourth proportional to 272.07, 375.53 and 165.76 is: 228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.07 : 375.53 = 165.76 : x
  2. Step 2: Convert to fraction form
    272.07/375.53 = 165.76/x
  3. Step 3: Cross multiply
    272.07x = 375.53 × 165.76
  4. Step 4: Simplify right side
    272.07x = 62,247.85
  5. Step 5: Solve for x
    x = 62,247.85/272.07
  6. Step 6: Final answer
    x = 228.80

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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.