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Finding the Fourth Proportional to 567.65, 851.16 and 202.39

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Solution

The fourth proportional to 567.65, 851.16 and 202.39 is: 303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.65 : 851.16 = 202.39 : x
  2. Step 2: Convert to fraction form
    567.65/851.16 = 202.39/x
  3. Step 3: Cross multiply
    567.65x = 851.16 × 202.39
  4. Step 4: Simplify right side
    567.65x = 172,262.02
  5. Step 5: Solve for x
    x = 172,262.02/567.65
  6. Step 6: Final answer
    x = 303.47

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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.