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Finding the Fourth Proportional to 245.52, 367.45 and 202.18

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Solution

The fourth proportional to 245.52, 367.45 and 202.18 is: 302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.52 : 367.45 = 202.18 : x
  2. Step 2: Convert to fraction form
    245.52/367.45 = 202.18/x
  3. Step 3: Cross multiply
    245.52x = 367.45 × 202.18
  4. Step 4: Simplify right side
    245.52x = 74,291.04
  5. Step 5: Solve for x
    x = 74,291.04/245.52
  6. Step 6: Final answer
    x = 302.59

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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.