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Finding the Fourth Proportional to 511.16, 766.98 and 203.36

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Solution

The fourth proportional to 511.16, 766.98 and 203.36 is: 305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.16 : 766.98 = 203.36 : x
  2. Step 2: Convert to fraction form
    511.16/766.98 = 203.36/x
  3. Step 3: Cross multiply
    511.16x = 766.98 × 203.36
  4. Step 4: Simplify right side
    511.16x = 155,973.05
  5. Step 5: Solve for x
    x = 155,973.05/511.16
  6. Step 6: Final answer
    x = 305.14

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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.