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Finding the Fourth Proportional to 202.60, 303.36 and 175.60

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Solution

The fourth proportional to 202.60, 303.36 and 175.60 is: 262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.60 : 303.36 = 175.60 : x
  2. Step 2: Convert to fraction form
    202.60/303.36 = 175.60/x
  3. Step 3: Cross multiply
    202.60x = 303.36 × 175.60
  4. Step 4: Simplify right side
    202.60x = 53,270.02
  5. Step 5: Solve for x
    x = 53,270.02/202.60
  6. Step 6: Final answer
    x = 262.93

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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.