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Finding the Fourth Proportional to 339.87, 509.71 and 177.47

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Solution

The fourth proportional to 339.87, 509.71 and 177.47 is: 266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.87 : 509.71 = 177.47 : x
  2. Step 2: Convert to fraction form
    339.87/509.71 = 177.47/x
  3. Step 3: Cross multiply
    339.87x = 509.71 × 177.47
  4. Step 4: Simplify right side
    339.87x = 90,458.23
  5. Step 5: Solve for x
    x = 90,458.23/339.87
  6. Step 6: Final answer
    x = 266.16

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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.