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Finding the Fourth Proportional to 280.29, 419.40 and 242.22

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Solution

The fourth proportional to 280.29, 419.40 and 242.22 is: 362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.29 : 419.40 = 242.22 : x
  2. Step 2: Convert to fraction form
    280.29/419.40 = 242.22/x
  3. Step 3: Cross multiply
    280.29x = 419.40 × 242.22
  4. Step 4: Simplify right side
    280.29x = 101,587.07
  5. Step 5: Solve for x
    x = 101,587.07/280.29
  6. Step 6: Final answer
    x = 362.44

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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.