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Finding the Fourth Proportional to 268.83, 403.28 and 153.33

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Solution

The fourth proportional to 268.83, 403.28 and 153.33 is: 230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.83 : 403.28 = 153.33 : x
  2. Step 2: Convert to fraction form
    268.83/403.28 = 153.33/x
  3. Step 3: Cross multiply
    268.83x = 403.28 × 153.33
  4. Step 4: Simplify right side
    268.83x = 61,834.16
  5. Step 5: Solve for x
    x = 61,834.16/268.83
  6. Step 6: Final answer
    x = 230.01

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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.