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Finding the Fourth Proportional to 340.99, 511.56 and 145.87

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Solution

The fourth proportional to 340.99, 511.56 and 145.87 is: 218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.99 : 511.56 = 145.87 : x
  2. Step 2: Convert to fraction form
    340.99/511.56 = 145.87/x
  3. Step 3: Cross multiply
    340.99x = 511.56 × 145.87
  4. Step 4: Simplify right side
    340.99x = 74,619.98
  5. Step 5: Solve for x
    x = 74,619.98/340.99
  6. Step 6: Final answer
    x = 218.83

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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.