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Finding the Fourth Proportional to 507.76, 761.82 and 178.72

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Solution

The fourth proportional to 507.76, 761.82 and 178.72 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.76 : 761.82 = 178.72 : x
  2. Step 2: Convert to fraction form
    507.76/761.82 = 178.72/x
  3. Step 3: Cross multiply
    507.76x = 761.82 × 178.72
  4. Step 4: Simplify right side
    507.76x = 136,152.47
  5. Step 5: Solve for x
    x = 136,152.47/507.76
  6. Step 6: Final answer
    x = 268.14

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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.