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Finding the Fourth Proportional to 651.82, 977.68 and 164.86

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Solution

The fourth proportional to 651.82, 977.68 and 164.86 is: 247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.82 : 977.68 = 164.86 : x
  2. Step 2: Convert to fraction form
    651.82/977.68 = 164.86/x
  3. Step 3: Cross multiply
    651.82x = 977.68 × 164.86
  4. Step 4: Simplify right side
    651.82x = 161,180.32
  5. Step 5: Solve for x
    x = 161,180.32/651.82
  6. Step 6: Final answer
    x = 247.28

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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.