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Finding the Fourth Proportional to 364.40, 546.83 and 159.06

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Solution

The fourth proportional to 364.40, 546.83 and 159.06 is: 238.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.40 : 546.83 = 159.06 : x
  2. Step 2: Convert to fraction form
    364.40/546.83 = 159.06/x
  3. Step 3: Cross multiply
    364.40x = 546.83 × 159.06
  4. Step 4: Simplify right side
    364.40x = 86,977.98
  5. Step 5: Solve for x
    x = 86,977.98/364.40
  6. Step 6: Final answer
    x = 238.69

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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.