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Finding the Fourth Proportional to 270.42, 373.20 and 165.58

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Solution

The fourth proportional to 270.42, 373.20 and 165.58 is: 228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.42 : 373.20 = 165.58 : x
  2. Step 2: Convert to fraction form
    270.42/373.20 = 165.58/x
  3. Step 3: Cross multiply
    270.42x = 373.20 × 165.58
  4. Step 4: Simplify right side
    270.42x = 61,794.46
  5. Step 5: Solve for x
    x = 61,794.46/270.42
  6. Step 6: Final answer
    x = 228.51

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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.