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Finding the Fourth Proportional to 341.14, 511.74 and 135.64

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Solution

The fourth proportional to 341.14, 511.74 and 135.64 is: 203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.14 : 511.74 = 135.64 : x
  2. Step 2: Convert to fraction form
    341.14/511.74 = 135.64/x
  3. Step 3: Cross multiply
    341.14x = 511.74 × 135.64
  4. Step 4: Simplify right side
    341.14x = 69,412.41
  5. Step 5: Solve for x
    x = 69,412.41/341.14
  6. Step 6: Final answer
    x = 203.47

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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.