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Finding the Fourth Proportional to 242.07, 334.06 and 143.82

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Solution

The fourth proportional to 242.07, 334.06 and 143.82 is: 198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.07 : 334.06 = 143.82 : x
  2. Step 2: Convert to fraction form
    242.07/334.06 = 143.82/x
  3. Step 3: Cross multiply
    242.07x = 334.06 × 143.82
  4. Step 4: Simplify right side
    242.07x = 48,044.51
  5. Step 5: Solve for x
    x = 48,044.51/242.07
  6. Step 6: Final answer
    x = 198.47

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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.