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Finding the Fourth Proportional to 651.42, 977.07 and 164.46

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Solution

The fourth proportional to 651.42, 977.07 and 164.46 is: 246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.42 : 977.07 = 164.46 : x
  2. Step 2: Convert to fraction form
    651.42/977.07 = 164.46/x
  3. Step 3: Cross multiply
    651.42x = 977.07 × 164.46
  4. Step 4: Simplify right side
    651.42x = 160,688.93
  5. Step 5: Solve for x
    x = 160,688.93/651.42
  6. Step 6: Final answer
    x = 246.67

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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.