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Finding the Fourth Proportional to 545.14, 817.84 and 193.74

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Solution

The fourth proportional to 545.14, 817.84 and 193.74 is: 290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.14 : 817.84 = 193.74 : x
  2. Step 2: Convert to fraction form
    545.14/817.84 = 193.74/x
  3. Step 3: Cross multiply
    545.14x = 817.84 × 193.74
  4. Step 4: Simplify right side
    545.14x = 158,448.32
  5. Step 5: Solve for x
    x = 158,448.32/545.14
  6. Step 6: Final answer
    x = 290.66

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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.