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Finding the Fourth Proportional to 233.51, 349.83 and 175.44

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Solution

The fourth proportional to 233.51, 349.83 and 175.44 is: 262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.51 : 349.83 = 175.44 : x
  2. Step 2: Convert to fraction form
    233.51/349.83 = 175.44/x
  3. Step 3: Cross multiply
    233.51x = 349.83 × 175.44
  4. Step 4: Simplify right side
    233.51x = 61,374.18
  5. Step 5: Solve for x
    x = 61,374.18/233.51
  6. Step 6: Final answer
    x = 262.83

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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.