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Finding the Fourth Proportional to 318.21, 477.26 and 101.77

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Solution

The fourth proportional to 318.21, 477.26 and 101.77 is: 152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.21 : 477.26 = 101.77 : x
  2. Step 2: Convert to fraction form
    318.21/477.26 = 101.77/x
  3. Step 3: Cross multiply
    318.21x = 477.26 × 101.77
  4. Step 4: Simplify right side
    318.21x = 48,569.43
  5. Step 5: Solve for x
    x = 48,569.43/318.21
  6. Step 6: Final answer
    x = 152.64

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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.