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Finding the Fourth Proportional to 555.58, 832.81 and 190.12

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Solution

The fourth proportional to 555.58, 832.81 and 190.12 is: 284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.58 : 832.81 = 190.12 : x
  2. Step 2: Convert to fraction form
    555.58/832.81 = 190.12/x
  3. Step 3: Cross multiply
    555.58x = 832.81 × 190.12
  4. Step 4: Simplify right side
    555.58x = 158,333.84
  5. Step 5: Solve for x
    x = 158,333.84/555.58
  6. Step 6: Final answer
    x = 284.99

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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.