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Finding the Fourth Proportional to 278.69, 384.58 and 154.34

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Solution

The fourth proportional to 278.69, 384.58 and 154.34 is: 212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.69 : 384.58 = 154.34 : x
  2. Step 2: Convert to fraction form
    278.69/384.58 = 154.34/x
  3. Step 3: Cross multiply
    278.69x = 384.58 × 154.34
  4. Step 4: Simplify right side
    278.69x = 59,356.08
  5. Step 5: Solve for x
    x = 59,356.08/278.69
  6. Step 6: Final answer
    x = 212.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.