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Finding the Fourth Proportional to 208.33, 312.65 and 156.40

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Solution

The fourth proportional to 208.33, 312.65 and 156.40 is: 234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.33 : 312.65 = 156.40 : x
  2. Step 2: Convert to fraction form
    208.33/312.65 = 156.40/x
  3. Step 3: Cross multiply
    208.33x = 312.65 × 156.40
  4. Step 4: Simplify right side
    208.33x = 48,898.46
  5. Step 5: Solve for x
    x = 48,898.46/208.33
  6. Step 6: Final answer
    x = 234.72

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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.