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Finding the Fourth Proportional to 175.34, 263 and 45.34

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Solution

The fourth proportional to 175.34, 263 and 45.34 is: 68.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.34 : 263 = 45.34 : x
  2. Step 2: Convert to fraction form
    175.34/263 = 45.34/x
  3. Step 3: Cross multiply
    175.34x = 263 × 45.34
  4. Step 4: Simplify right side
    175.34x = 11,924.42
  5. Step 5: Solve for x
    x = 11,924.42/175.34
  6. Step 6: Final answer
    x = 68.01

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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.