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Finding the Fourth Proportional to 289.47, 399.50 and 178.98

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Solution

The fourth proportional to 289.47, 399.50 and 178.98 is: 247.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.47 : 399.50 = 178.98 : x
  2. Step 2: Convert to fraction form
    289.47/399.50 = 178.98/x
  3. Step 3: Cross multiply
    289.47x = 399.50 × 178.98
  4. Step 4: Simplify right side
    289.47x = 71,500.79
  5. Step 5: Solve for x
    x = 71,500.79/289.47
  6. Step 6: Final answer
    x = 247.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.