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Finding the Fourth Proportional to 208.34, 312.45 and 71.35

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Solution

The fourth proportional to 208.34, 312.45 and 71.35 is: 107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.34 : 312.45 = 71.35 : x
  2. Step 2: Convert to fraction form
    208.34/312.45 = 71.35/x
  3. Step 3: Cross multiply
    208.34x = 312.45 × 71.35
  4. Step 4: Simplify right side
    208.34x = 22,293.31
  5. Step 5: Solve for x
    x = 22,293.31/208.34
  6. Step 6: Final answer
    x = 107.00

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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.