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Finding the Fourth Proportional to 340.98, 511.24 and 135.58

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Solution

The fourth proportional to 340.98, 511.24 and 135.58 is: 203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.98 : 511.24 = 135.58 : x
  2. Step 2: Convert to fraction form
    340.98/511.24 = 135.58/x
  3. Step 3: Cross multiply
    340.98x = 511.24 × 135.58
  4. Step 4: Simplify right side
    340.98x = 69,313.92
  5. Step 5: Solve for x
    x = 69,313.92/340.98
  6. Step 6: Final answer
    x = 203.28

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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.