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Finding the Fourth Proportional to 507.12, 760.73 and 178.12

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Solution

The fourth proportional to 507.12, 760.73 and 178.12 is: 267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.12 : 760.73 = 178.12 : x
  2. Step 2: Convert to fraction form
    507.12/760.73 = 178.12/x
  3. Step 3: Cross multiply
    507.12x = 760.73 × 178.12
  4. Step 4: Simplify right side
    507.12x = 135,501.23
  5. Step 5: Solve for x
    x = 135,501.23/507.12
  6. Step 6: Final answer
    x = 267.20

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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.