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Finding the Fourth Proportional to 536.80, 805.21 and 146.80

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Solution

The fourth proportional to 536.80, 805.21 and 146.80 is: 220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 805.21 = 146.80 : x
  2. Step 2: Convert to fraction form
    536.80/805.21 = 146.80/x
  3. Step 3: Cross multiply
    536.80x = 805.21 × 146.80
  4. Step 4: Simplify right side
    536.80x = 118,202.21
  5. Step 5: Solve for x
    x = 118,202.21/536.80
  6. Step 6: Final answer
    x = 220.20

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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.