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Finding the Fourth Proportional to 202.48, 303.54 and 104.77

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Solution

The fourth proportional to 202.48, 303.54 and 104.77 is: 157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.48 : 303.54 = 104.77 : x
  2. Step 2: Convert to fraction form
    202.48/303.54 = 104.77/x
  3. Step 3: Cross multiply
    202.48x = 303.54 × 104.77
  4. Step 4: Simplify right side
    202.48x = 31,801.89
  5. Step 5: Solve for x
    x = 31,801.89/202.48
  6. Step 6: Final answer
    x = 157.06

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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.