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Finding the Fourth Proportional to 399.76, 599.72 and 165.50

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Solution

The fourth proportional to 399.76, 599.72 and 165.50 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.76 : 599.72 = 165.50 : x
  2. Step 2: Convert to fraction form
    399.76/599.72 = 165.50/x
  3. Step 3: Cross multiply
    399.76x = 599.72 × 165.50
  4. Step 4: Simplify right side
    399.76x = 99,252.83
  5. Step 5: Solve for x
    x = 99,252.83/399.76
  6. Step 6: Final answer
    x = 248.28

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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.