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Finding the Fourth Proportional to 151.99, 228.06 and 151.56

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Solution

The fourth proportional to 151.99, 228.06 and 151.56 is: 227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.99 : 228.06 = 151.56 : x
  2. Step 2: Convert to fraction form
    151.99/228.06 = 151.56/x
  3. Step 3: Cross multiply
    151.99x = 228.06 × 151.56
  4. Step 4: Simplify right side
    151.99x = 34,564.77
  5. Step 5: Solve for x
    x = 34,564.77/151.99
  6. Step 6: Final answer
    x = 227.42

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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.