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Finding the Fourth Proportional to 370.42, 511.16 and 204.60

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Solution

The fourth proportional to 370.42, 511.16 and 204.60 is: 282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.42 : 511.16 = 204.60 : x
  2. Step 2: Convert to fraction form
    370.42/511.16 = 204.60/x
  3. Step 3: Cross multiply
    370.42x = 511.16 × 204.60
  4. Step 4: Simplify right side
    370.42x = 104,582.31
  5. Step 5: Solve for x
    x = 104,582.31/370.42
  6. Step 6: Final answer
    x = 282.34

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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.