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Finding the Fourth Proportional to 507.06, 760.47 and 141.75

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Solution

The fourth proportional to 507.06, 760.47 and 141.75 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.06 : 760.47 = 141.75 : x
  2. Step 2: Convert to fraction form
    507.06/760.47 = 141.75/x
  3. Step 3: Cross multiply
    507.06x = 760.47 × 141.75
  4. Step 4: Simplify right side
    507.06x = 107,796.62
  5. Step 5: Solve for x
    x = 107,796.62/507.06
  6. Step 6: Final answer
    x = 212.59

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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.