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Finding the Fourth Proportional to 242.02, 334 and 179.82

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Solution

The fourth proportional to 242.02, 334 and 179.82 is: 248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.02 : 334 = 179.82 : x
  2. Step 2: Convert to fraction form
    242.02/334 = 179.82/x
  3. Step 3: Cross multiply
    242.02x = 334 × 179.82
  4. Step 4: Simplify right side
    242.02x = 60,059.88
  5. Step 5: Solve for x
    x = 60,059.88/242.02
  6. Step 6: Final answer
    x = 248.16

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Why These Related Problems?

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