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Finding the Fourth Proportional to 507.80, 761.24 and 182.94

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Solution

The fourth proportional to 507.80, 761.24 and 182.94 is: 274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.80 : 761.24 = 182.94 : x
  2. Step 2: Convert to fraction form
    507.80/761.24 = 182.94/x
  3. Step 3: Cross multiply
    507.80x = 761.24 × 182.94
  4. Step 4: Simplify right side
    507.80x = 139,261.25
  5. Step 5: Solve for x
    x = 139,261.25/507.80
  6. Step 6: Final answer
    x = 274.24

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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.