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Finding the Fourth Proportional to 435.98, 653.55 and 192.21

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Solution

The fourth proportional to 435.98, 653.55 and 192.21 is: 288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.98 : 653.55 = 192.21 : x
  2. Step 2: Convert to fraction form
    435.98/653.55 = 192.21/x
  3. Step 3: Cross multiply
    435.98x = 653.55 × 192.21
  4. Step 4: Simplify right side
    435.98x = 125,618.85
  5. Step 5: Solve for x
    x = 125,618.85/435.98
  6. Step 6: Final answer
    x = 288.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.