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Finding the Fourth Proportional to 242.86, 364.36 and 134.73

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Solution

The fourth proportional to 242.86, 364.36 and 134.73 is: 202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.86 : 364.36 = 134.73 : x
  2. Step 2: Convert to fraction form
    242.86/364.36 = 134.73/x
  3. Step 3: Cross multiply
    242.86x = 364.36 × 134.73
  4. Step 4: Simplify right side
    242.86x = 49,088.77
  5. Step 5: Solve for x
    x = 49,088.77/242.86
  6. Step 6: Final answer
    x = 202.13

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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.