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Finding the Fourth Proportional to 340.58, 511.14 and 135.20

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Solution

The fourth proportional to 340.58, 511.14 and 135.20 is: 202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.58 : 511.14 = 135.20 : x
  2. Step 2: Convert to fraction form
    340.58/511.14 = 135.20/x
  3. Step 3: Cross multiply
    340.58x = 511.14 × 135.20
  4. Step 4: Simplify right side
    340.58x = 69,106.13
  5. Step 5: Solve for x
    x = 69,106.13/340.58
  6. Step 6: Final answer
    x = 202.91

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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.