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Finding the Fourth Proportional to 651.47, 977.16 and 189.23

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Solution

The fourth proportional to 651.47, 977.16 and 189.23 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.47 : 977.16 = 189.23 : x
  2. Step 2: Convert to fraction form
    651.47/977.16 = 189.23/x
  3. Step 3: Cross multiply
    651.47x = 977.16 × 189.23
  4. Step 4: Simplify right side
    651.47x = 184,910.43
  5. Step 5: Solve for x
    x = 184,910.43/651.47
  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.