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Finding the Fourth Proportional to 270.74, 373.75 and 165.85

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Solution

The fourth proportional to 270.74, 373.75 and 165.85 is: 228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.74 : 373.75 = 165.85 : x
  2. Step 2: Convert to fraction form
    270.74/373.75 = 165.85/x
  3. Step 3: Cross multiply
    270.74x = 373.75 × 165.85
  4. Step 4: Simplify right side
    270.74x = 61,985.09
  5. Step 5: Solve for x
    x = 61,985.09/270.74
  6. Step 6: Final answer
    x = 228.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.