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Finding the Fourth Proportional to 269.24, 403.70 and 235.20

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Solution

The fourth proportional to 269.24, 403.70 and 235.20 is: 352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.24 : 403.70 = 235.20 : x
  2. Step 2: Convert to fraction form
    269.24/403.70 = 235.20/x
  3. Step 3: Cross multiply
    269.24x = 403.70 × 235.20
  4. Step 4: Simplify right side
    269.24x = 94,950.24
  5. Step 5: Solve for x
    x = 94,950.24/269.24
  6. Step 6: Final answer
    x = 352.66

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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.