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Finding the Fourth Proportional to 209.84, 314.52 and 155.69

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Solution

The fourth proportional to 209.84, 314.52 and 155.69 is: 233.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.84 : 314.52 = 155.69 : x
  2. Step 2: Convert to fraction form
    209.84/314.52 = 155.69/x
  3. Step 3: Cross multiply
    209.84x = 314.52 × 155.69
  4. Step 4: Simplify right side
    209.84x = 48,967.62
  5. Step 5: Solve for x
    x = 48,967.62/209.84
  6. Step 6: Final answer
    x = 233.36

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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.