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Finding the Fourth Proportional to 507.50, 761.26 and 165.50

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Solution

The fourth proportional to 507.50, 761.26 and 165.50 is: 248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.50 : 761.26 = 165.50 : x
  2. Step 2: Convert to fraction form
    507.50/761.26 = 165.50/x
  3. Step 3: Cross multiply
    507.50x = 761.26 × 165.50
  4. Step 4: Simplify right side
    507.50x = 125,988.53
  5. Step 5: Solve for x
    x = 125,988.53/507.50
  6. Step 6: Final answer
    x = 248.25

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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.