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Finding the Fourth Proportional to 340.28, 509.33 and 183.89

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Solution

The fourth proportional to 340.28, 509.33 and 183.89 is: 275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.28 : 509.33 = 183.89 : x
  2. Step 2: Convert to fraction form
    340.28/509.33 = 183.89/x
  3. Step 3: Cross multiply
    340.28x = 509.33 × 183.89
  4. Step 4: Simplify right side
    340.28x = 93,657.23
  5. Step 5: Solve for x
    x = 93,657.23/340.28
  6. Step 6: Final answer
    x = 275.24

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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.