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Finding the Fourth Proportional to 174.03, 260.64 and 133.53

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Solution

The fourth proportional to 174.03, 260.64 and 133.53 is: 199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.03 : 260.64 = 133.53 : x
  2. Step 2: Convert to fraction form
    174.03/260.64 = 133.53/x
  3. Step 3: Cross multiply
    174.03x = 260.64 × 133.53
  4. Step 4: Simplify right side
    174.03x = 34,803.26
  5. Step 5: Solve for x
    x = 34,803.26/174.03
  6. Step 6: Final answer
    x = 199.98

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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.