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Finding the Fourth Proportional to 454.40, 681.65 and 146.20

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Solution

The fourth proportional to 454.40, 681.65 and 146.20 is: 219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.40 : 681.65 = 146.20 : x
  2. Step 2: Convert to fraction form
    454.40/681.65 = 146.20/x
  3. Step 3: Cross multiply
    454.40x = 681.65 × 146.20
  4. Step 4: Simplify right side
    454.40x = 99,657.23
  5. Step 5: Solve for x
    x = 99,657.23/454.40
  6. Step 6: Final answer
    x = 219.32

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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.