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Finding the Fourth Proportional to 651.71, 977.60 and 164.77

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Solution

The fourth proportional to 651.71, 977.60 and 164.77 is: 247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.71 : 977.60 = 164.77 : x
  2. Step 2: Convert to fraction form
    651.71/977.60 = 164.77/x
  3. Step 3: Cross multiply
    651.71x = 977.60 × 164.77
  4. Step 4: Simplify right side
    651.71x = 161,079.15
  5. Step 5: Solve for x
    x = 161,079.15/651.71
  6. Step 6: Final answer
    x = 247.16

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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.