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Finding the Fourth Proportional to 229.30, 342.64 and 185.48

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Solution

The fourth proportional to 229.30, 342.64 and 185.48 is: 277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.30 : 342.64 = 185.48 : x
  2. Step 2: Convert to fraction form
    229.30/342.64 = 185.48/x
  3. Step 3: Cross multiply
    229.30x = 342.64 × 185.48
  4. Step 4: Simplify right side
    229.30x = 63,552.87
  5. Step 5: Solve for x
    x = 63,552.87/229.30
  6. Step 6: Final answer
    x = 277.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.