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Finding the Fourth Proportional to 202.21, 302.04 and 173.18

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Solution

The fourth proportional to 202.21, 302.04 and 173.18 is: 258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.21 : 302.04 = 173.18 : x
  2. Step 2: Convert to fraction form
    202.21/302.04 = 173.18/x
  3. Step 3: Cross multiply
    202.21x = 302.04 × 173.18
  4. Step 4: Simplify right side
    202.21x = 52,307.29
  5. Step 5: Solve for x
    x = 52,307.29/202.21
  6. Step 6: Final answer
    x = 258.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.