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Finding the Fourth Proportional to 202.50, 305.37 and 175.77

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Solution

The fourth proportional to 202.50, 305.37 and 175.77 is: 265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.50 : 305.37 = 175.77 : x
  2. Step 2: Convert to fraction form
    202.50/305.37 = 175.77/x
  3. Step 3: Cross multiply
    202.50x = 305.37 × 175.77
  4. Step 4: Simplify right side
    202.50x = 53,674.88
  5. Step 5: Solve for x
    x = 53,674.88/202.50
  6. Step 6: Final answer
    x = 265.06

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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.