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Finding the Fourth Proportional to 399.61, 599.47 and 168.66

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Solution

The fourth proportional to 399.61, 599.47 and 168.66 is: 253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.61 : 599.47 = 168.66 : x
  2. Step 2: Convert to fraction form
    399.61/599.47 = 168.66/x
  3. Step 3: Cross multiply
    399.61x = 599.47 × 168.66
  4. Step 4: Simplify right side
    399.61x = 101,106.19
  5. Step 5: Solve for x
    x = 101,106.19/399.61
  6. Step 6: Final answer
    x = 253.01

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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.