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Finding the Fourth Proportional to 202.86, 305.55 and 175.77

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Solution

The fourth proportional to 202.86, 305.55 and 175.77 is: 264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.86 : 305.55 = 175.77 : x
  2. Step 2: Convert to fraction form
    202.86/305.55 = 175.77/x
  3. Step 3: Cross multiply
    202.86x = 305.55 × 175.77
  4. Step 4: Simplify right side
    202.86x = 53,706.52
  5. Step 5: Solve for x
    x = 53,706.52/202.86
  6. Step 6: Final answer
    x = 264.75

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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.