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Finding the Fourth Proportional to 595.36, 892.97 and 184.47

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Solution

The fourth proportional to 595.36, 892.97 and 184.47 is: 276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.36 : 892.97 = 184.47 : x
  2. Step 2: Convert to fraction form
    595.36/892.97 = 184.47/x
  3. Step 3: Cross multiply
    595.36x = 892.97 × 184.47
  4. Step 4: Simplify right side
    595.36x = 164,720.79
  5. Step 5: Solve for x
    x = 164,720.79/595.36
  6. Step 6: Final answer
    x = 276.67

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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.