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Finding the Fourth Proportional to 270.59, 373.41 and 165.74

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Solution

The fourth proportional to 270.59, 373.41 and 165.74 is: 228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.59 : 373.41 = 165.74 : x
  2. Step 2: Convert to fraction form
    270.59/373.41 = 165.74/x
  3. Step 3: Cross multiply
    270.59x = 373.41 × 165.74
  4. Step 4: Simplify right side
    270.59x = 61,887.11
  5. Step 5: Solve for x
    x = 61,887.11/270.59
  6. Step 6: Final answer
    x = 228.72

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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.