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Finding the Fourth Proportional to 268.88, 403.16 and 153.45

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Solution

The fourth proportional to 268.88, 403.16 and 153.45 is: 230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.88 : 403.16 = 153.45 : x
  2. Step 2: Convert to fraction form
    268.88/403.16 = 153.45/x
  3. Step 3: Cross multiply
    268.88x = 403.16 × 153.45
  4. Step 4: Simplify right side
    268.88x = 61,864.13
  5. Step 5: Solve for x
    x = 61,864.13/268.88
  6. Step 6: Final answer
    x = 230.09

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Why These Related Problems?

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