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Finding the Fourth Proportional to 651.43, 977.30 and 189.20

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Solution

The fourth proportional to 651.43, 977.30 and 189.20 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.43 : 977.30 = 189.20 : x
  2. Step 2: Convert to fraction form
    651.43/977.30 = 189.20/x
  3. Step 3: Cross multiply
    651.43x = 977.30 × 189.20
  4. Step 4: Simplify right side
    651.43x = 184,905.16
  5. Step 5: Solve for x
    x = 184,905.16/651.43
  6. Step 6: Final answer
    x = 283.84

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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.