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Finding the Fourth Proportional to 561.02, 840.95 and 190.70

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Solution

The fourth proportional to 561.02, 840.95 and 190.70 is: 285.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.02 : 840.95 = 190.70 : x
  2. Step 2: Convert to fraction form
    561.02/840.95 = 190.70/x
  3. Step 3: Cross multiply
    561.02x = 840.95 × 190.70
  4. Step 4: Simplify right side
    561.02x = 160,372.61
  5. Step 5: Solve for x
    x = 160,372.61/561.02
  6. Step 6: Final answer
    x = 285.86

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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.