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Finding the Fourth Proportional to 339.89, 469.01 and 192.53

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Solution

The fourth proportional to 339.89, 469.01 and 192.53 is: 265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.89 : 469.01 = 192.53 : x
  2. Step 2: Convert to fraction form
    339.89/469.01 = 192.53/x
  3. Step 3: Cross multiply
    339.89x = 469.01 × 192.53
  4. Step 4: Simplify right side
    339.89x = 90,296.15
  5. Step 5: Solve for x
    x = 90,296.15/339.89
  6. Step 6: Final answer
    x = 265.67

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