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Finding the Fourth Proportional to 233.02, 321.59 and 174.70

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Solution

The fourth proportional to 233.02, 321.59 and 174.70 is: 241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.02 : 321.59 = 174.70 : x
  2. Step 2: Convert to fraction form
    233.02/321.59 = 174.70/x
  3. Step 3: Cross multiply
    233.02x = 321.59 × 174.70
  4. Step 4: Simplify right side
    233.02x = 56,181.77
  5. Step 5: Solve for x
    x = 56,181.77/233.02
  6. Step 6: Final answer
    x = 241.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.