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Finding the Fourth Proportional to 242.78, 364.32 and 134.64

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Solution

The fourth proportional to 242.78, 364.32 and 134.64 is: 202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.78 : 364.32 = 134.64 : x
  2. Step 2: Convert to fraction form
    242.78/364.32 = 134.64/x
  3. Step 3: Cross multiply
    242.78x = 364.32 × 134.64
  4. Step 4: Simplify right side
    242.78x = 49,052.04
  5. Step 5: Solve for x
    x = 49,052.04/242.78
  6. Step 6: Final answer
    x = 202.05

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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.