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Finding the Fourth Proportional to 654.90, 982.34 and 192.67

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Solution

The fourth proportional to 654.90, 982.34 and 192.67 is: 289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.90 : 982.34 = 192.67 : x
  2. Step 2: Convert to fraction form
    654.90/982.34 = 192.67/x
  3. Step 3: Cross multiply
    654.90x = 982.34 × 192.67
  4. Step 4: Simplify right side
    654.90x = 189,271.20
  5. Step 5: Solve for x
    x = 189,271.20/654.90
  6. Step 6: Final answer
    x = 289.01

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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.