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Finding the Fourth Proportional to 555.23, 833.06 and 190.02

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Solution

The fourth proportional to 555.23, 833.06 and 190.02 is: 285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.23 : 833.06 = 190.02 : x
  2. Step 2: Convert to fraction form
    555.23/833.06 = 190.02/x
  3. Step 3: Cross multiply
    555.23x = 833.06 × 190.02
  4. Step 4: Simplify right side
    555.23x = 158,298.06
  5. Step 5: Solve for x
    x = 158,298.06/555.23
  6. Step 6: Final answer
    x = 285.10

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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.