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Finding the Fourth Proportional to 364.76, 547.36 and 159.32

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Solution

The fourth proportional to 364.76, 547.36 and 159.32 is: 239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.76 : 547.36 = 159.32 : x
  2. Step 2: Convert to fraction form
    364.76/547.36 = 159.32/x
  3. Step 3: Cross multiply
    364.76x = 547.36 × 159.32
  4. Step 4: Simplify right side
    364.76x = 87,206.37
  5. Step 5: Solve for x
    x = 87,206.37/364.76
  6. Step 6: Final answer
    x = 239.08

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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.