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Finding the Fourth Proportional to 242.64, 364.04 and 105.61

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Solution

The fourth proportional to 242.64, 364.04 and 105.61 is: 158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.64 : 364.04 = 105.61 : x
  2. Step 2: Convert to fraction form
    242.64/364.04 = 105.61/x
  3. Step 3: Cross multiply
    242.64x = 364.04 × 105.61
  4. Step 4: Simplify right side
    242.64x = 38,446.26
  5. Step 5: Solve for x
    x = 38,446.26/242.64
  6. Step 6: Final answer
    x = 158.45

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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.