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Finding the Fourth Proportional to 264.94, 365.72 and 177.66

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Solution

The fourth proportional to 264.94, 365.72 and 177.66 is: 245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.94 : 365.72 = 177.66 : x
  2. Step 2: Convert to fraction form
    264.94/365.72 = 177.66/x
  3. Step 3: Cross multiply
    264.94x = 365.72 × 177.66
  4. Step 4: Simplify right side
    264.94x = 64,972.93
  5. Step 5: Solve for x
    x = 64,972.93/264.94
  6. Step 6: Final answer
    x = 245.24

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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.