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Finding the Fourth Proportional to 242.97, 365.88 and 174.97

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Solution

The fourth proportional to 242.97, 365.88 and 174.97 is: 263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.97 : 365.88 = 174.97 : x
  2. Step 2: Convert to fraction form
    242.97/365.88 = 174.97/x
  3. Step 3: Cross multiply
    242.97x = 365.88 × 174.97
  4. Step 4: Simplify right side
    242.97x = 64,015.32
  5. Step 5: Solve for x
    x = 64,015.32/242.97
  6. Step 6: Final answer
    x = 263.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.