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Finding the Fourth Proportional to 242.34, 334.22 and 186.96

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Solution

The fourth proportional to 242.34, 334.22 and 186.96 is: 257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.34 : 334.22 = 186.96 : x
  2. Step 2: Convert to fraction form
    242.34/334.22 = 186.96/x
  3. Step 3: Cross multiply
    242.34x = 334.22 × 186.96
  4. Step 4: Simplify right side
    242.34x = 62,485.77
  5. Step 5: Solve for x
    x = 62,485.77/242.34
  6. Step 6: Final answer
    x = 257.84

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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.