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Finding the Fourth Proportional to 555.00, 832.61 and 189.75

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Solution

The fourth proportional to 555.00, 832.61 and 189.75 is: 284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.00 : 832.61 = 189.75 : x
  2. Step 2: Convert to fraction form
    555.00/832.61 = 189.75/x
  3. Step 3: Cross multiply
    555.00x = 832.61 × 189.75
  4. Step 4: Simplify right side
    555.00x = 157,991.34
  5. Step 5: Solve for x
    x = 157,991.34/555.00
  6. Step 6: Final answer
    x = 284.67

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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.