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Finding the Fourth Proportional to 340.70, 511.34 and 186.77

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Solution

The fourth proportional to 340.70, 511.34 and 186.77 is: 280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.70 : 511.34 = 186.77 : x
  2. Step 2: Convert to fraction form
    340.70/511.34 = 186.77/x
  3. Step 3: Cross multiply
    340.70x = 511.34 × 186.77
  4. Step 4: Simplify right side
    340.70x = 95,503.32
  5. Step 5: Solve for x
    x = 95,503.32/340.70
  6. Step 6: Final answer
    x = 280.32

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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.