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Finding the Fourth Proportional to 651.86, 977.76 and 164.90

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Solution

The fourth proportional to 651.86, 977.76 and 164.90 is: 247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.86 : 977.76 = 164.90 : x
  2. Step 2: Convert to fraction form
    651.86/977.76 = 164.90/x
  3. Step 3: Cross multiply
    651.86x = 977.76 × 164.90
  4. Step 4: Simplify right side
    651.86x = 161,232.62
  5. Step 5: Solve for x
    x = 161,232.62/651.86
  6. Step 6: Final answer
    x = 247.34

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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.