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Finding the Fourth Proportional to 271.60, 407.23 and 98.21

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Solution

The fourth proportional to 271.60, 407.23 and 98.21 is: 147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.60 : 407.23 = 98.21 : x
  2. Step 2: Convert to fraction form
    271.60/407.23 = 98.21/x
  3. Step 3: Cross multiply
    271.60x = 407.23 × 98.21
  4. Step 4: Simplify right side
    271.60x = 39,994.83
  5. Step 5: Solve for x
    x = 39,994.83/271.60
  6. Step 6: Final answer
    x = 147.25

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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.