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Finding the Fourth Proportional to 278.00, 384.72 and 223.32

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Solution

The fourth proportional to 278.00, 384.72 and 223.32 is: 309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.00 : 384.72 = 223.32 : x
  2. Step 2: Convert to fraction form
    278.00/384.72 = 223.32/x
  3. Step 3: Cross multiply
    278.00x = 384.72 × 223.32
  4. Step 4: Simplify right side
    278.00x = 85,916.28
  5. Step 5: Solve for x
    x = 85,916.28/278.00
  6. Step 6: Final answer
    x = 309.05

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Why These Related Problems?

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