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Finding the Fourth Proportional to 192.99, 289.50 and 101.76

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Solution

The fourth proportional to 192.99, 289.50 and 101.76 is: 152.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.99 : 289.50 = 101.76 : x
  2. Step 2: Convert to fraction form
    192.99/289.50 = 101.76/x
  3. Step 3: Cross multiply
    192.99x = 289.50 × 101.76
  4. Step 4: Simplify right side
    192.99x = 29,459.52
  5. Step 5: Solve for x
    x = 29,459.52/192.99
  6. Step 6: Final answer
    x = 152.65

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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.