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Finding the Fourth Proportional to 507.65, 761.19 and 178.46

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Solution

The fourth proportional to 507.65, 761.19 and 178.46 is: 267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.65 : 761.19 = 178.46 : x
  2. Step 2: Convert to fraction form
    507.65/761.19 = 178.46/x
  3. Step 3: Cross multiply
    507.65x = 761.19 × 178.46
  4. Step 4: Simplify right side
    507.65x = 135,838.16
  5. Step 5: Solve for x
    x = 135,838.16/507.65
  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.