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Finding the Fourth Proportional to 151.94, 228.06 and 129.48

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Solution

The fourth proportional to 151.94, 228.06 and 129.48 is: 194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.94 : 228.06 = 129.48 : x
  2. Step 2: Convert to fraction form
    151.94/228.06 = 129.48/x
  3. Step 3: Cross multiply
    151.94x = 228.06 × 129.48
  4. Step 4: Simplify right side
    151.94x = 29,529.21
  5. Step 5: Solve for x
    x = 29,529.21/151.94
  6. Step 6: Final answer
    x = 194.35

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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.