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Finding the Fourth Proportional to 303.42, 419.14 and 205.60

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Solution

The fourth proportional to 303.42, 419.14 and 205.60 is: 284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.42 : 419.14 = 205.60 : x
  2. Step 2: Convert to fraction form
    303.42/419.14 = 205.60/x
  3. Step 3: Cross multiply
    303.42x = 419.14 × 205.60
  4. Step 4: Simplify right side
    303.42x = 86,175.18
  5. Step 5: Solve for x
    x = 86,175.18/303.42
  6. Step 6: Final answer
    x = 284.01

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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.