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Finding the Fourth Proportional to 507.53, 761.22 and 178.40

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Solution

The fourth proportional to 507.53, 761.22 and 178.40 is: 267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.53 : 761.22 = 178.40 : x
  2. Step 2: Convert to fraction form
    507.53/761.22 = 178.40/x
  3. Step 3: Cross multiply
    507.53x = 761.22 × 178.40
  4. Step 4: Simplify right side
    507.53x = 135,803.55
  5. Step 5: Solve for x
    x = 135,803.55/507.53
  6. Step 6: Final answer
    x = 267.58

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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.