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Finding the Fourth Proportional to 507.11, 760.74 and 178.10

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Solution

The fourth proportional to 507.11, 760.74 and 178.10 is: 267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.11 : 760.74 = 178.10 : x
  2. Step 2: Convert to fraction form
    507.11/760.74 = 178.10/x
  3. Step 3: Cross multiply
    507.11x = 760.74 × 178.10
  4. Step 4: Simplify right side
    507.11x = 135,487.79
  5. Step 5: Solve for x
    x = 135,487.79/507.11
  6. Step 6: Final answer
    x = 267.18

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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.