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Finding the Fourth Proportional to 280.17, 420.59 and 222.51

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Solution

The fourth proportional to 280.17, 420.59 and 222.51 is: 334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.17 : 420.59 = 222.51 : x
  2. Step 2: Convert to fraction form
    280.17/420.59 = 222.51/x
  3. Step 3: Cross multiply
    280.17x = 420.59 × 222.51
  4. Step 4: Simplify right side
    280.17x = 93,584.37
  5. Step 5: Solve for x
    x = 93,584.37/280.17
  6. Step 6: Final answer
    x = 334.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.