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Finding the Fourth Proportional to 405.42, 608.10 and 131.52

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Solution

The fourth proportional to 405.42, 608.10 and 131.52 is: 197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 608.10 = 131.52 : x
  2. Step 2: Convert to fraction form
    405.42/608.10 = 131.52/x
  3. Step 3: Cross multiply
    405.42x = 608.10 × 131.52
  4. Step 4: Simplify right side
    405.42x = 79,977.31
  5. Step 5: Solve for x
    x = 79,977.31/405.42
  6. Step 6: Final answer
    x = 197.27

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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.