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Finding the Fourth Proportional to 243.33, 364.32 and 166.16

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Solution

The fourth proportional to 243.33, 364.32 and 166.16 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.33 : 364.32 = 166.16 : x
  2. Step 2: Convert to fraction form
    243.33/364.32 = 166.16/x
  3. Step 3: Cross multiply
    243.33x = 364.32 × 166.16
  4. Step 4: Simplify right side
    243.33x = 60,533.59
  5. Step 5: Solve for x
    x = 60,533.59/243.33
  6. Step 6: Final answer
    x = 248.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.