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Finding the Fourth Proportional to 507.32, 761.06 and 178.35

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Solution

The fourth proportional to 507.32, 761.06 and 178.35 is: 267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.32 : 761.06 = 178.35 : x
  2. Step 2: Convert to fraction form
    507.32/761.06 = 178.35/x
  3. Step 3: Cross multiply
    507.32x = 761.06 × 178.35
  4. Step 4: Simplify right side
    507.32x = 135,731.25
  5. Step 5: Solve for x
    x = 135,731.25/507.32
  6. Step 6: Final answer
    x = 267.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.