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Finding the Fourth Proportional to 651.34, 977 and 164.40

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Solution

The fourth proportional to 651.34, 977 and 164.40 is: 246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.34 : 977 = 164.40 : x
  2. Step 2: Convert to fraction form
    651.34/977 = 164.40/x
  3. Step 3: Cross multiply
    651.34x = 977 × 164.40
  4. Step 4: Simplify right side
    651.34x = 160,618.80
  5. Step 5: Solve for x
    x = 160,618.80/651.34
  6. Step 6: Final answer
    x = 246.60

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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.