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Finding the Fourth Proportional to 364.78, 546.71 and 159.22

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Solution

The fourth proportional to 364.78, 546.71 and 159.22 is: 238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.78 : 546.71 = 159.22 : x
  2. Step 2: Convert to fraction form
    364.78/546.71 = 159.22/x
  3. Step 3: Cross multiply
    364.78x = 546.71 × 159.22
  4. Step 4: Simplify right side
    364.78x = 87,047.17
  5. Step 5: Solve for x
    x = 87,047.17/364.78
  6. Step 6: Final answer
    x = 238.63

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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.