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Finding the Fourth Proportional to 202.37, 302.96 and 176.99

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Solution

The fourth proportional to 202.37, 302.96 and 176.99 is: 264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.37 : 302.96 = 176.99 : x
  2. Step 2: Convert to fraction form
    202.37/302.96 = 176.99/x
  3. Step 3: Cross multiply
    202.37x = 302.96 × 176.99
  4. Step 4: Simplify right side
    202.37x = 53,618.82
  5. Step 5: Solve for x
    x = 53,618.82/202.37
  6. Step 6: Final answer
    x = 264.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.