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Finding the Fourth Proportional to 151.99, 228.01 and 105.28

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Solution

The fourth proportional to 151.99, 228.01 and 105.28 is: 157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.99 : 228.01 = 105.28 : x
  2. Step 2: Convert to fraction form
    151.99/228.01 = 105.28/x
  3. Step 3: Cross multiply
    151.99x = 228.01 × 105.28
  4. Step 4: Simplify right side
    151.99x = 24,004.89
  5. Step 5: Solve for x
    x = 24,004.89/151.99
  6. Step 6: Final answer
    x = 157.94

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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.