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Finding the Fourth Proportional to 202.96, 305.46 and 151.87

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Solution

The fourth proportional to 202.96, 305.46 and 151.87 is: 228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.96 : 305.46 = 151.87 : x
  2. Step 2: Convert to fraction form
    202.96/305.46 = 151.87/x
  3. Step 3: Cross multiply
    202.96x = 305.46 × 151.87
  4. Step 4: Simplify right side
    202.96x = 46,390.21
  5. Step 5: Solve for x
    x = 46,390.21/202.96
  6. Step 6: Final answer
    x = 228.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.