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Finding the Fourth Proportional to 270.80, 373.64 and 165.92

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Solution

The fourth proportional to 270.80, 373.64 and 165.92 is: 228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.80 : 373.64 = 165.92 : x
  2. Step 2: Convert to fraction form
    270.80/373.64 = 165.92/x
  3. Step 3: Cross multiply
    270.80x = 373.64 × 165.92
  4. Step 4: Simplify right side
    270.80x = 61,994.35
  5. Step 5: Solve for x
    x = 61,994.35/270.80
  6. Step 6: Final answer
    x = 228.93

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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.