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Finding the Fourth Proportional to 270.30, 373.04 and 165.46

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Solution

The fourth proportional to 270.30, 373.04 and 165.46 is: 228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.30 : 373.04 = 165.46 : x
  2. Step 2: Convert to fraction form
    270.30/373.04 = 165.46/x
  3. Step 3: Cross multiply
    270.30x = 373.04 × 165.46
  4. Step 4: Simplify right side
    270.30x = 61,722.68
  5. Step 5: Solve for x
    x = 61,722.68/270.30
  6. Step 6: Final answer
    x = 228.35

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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.