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Finding the Fourth Proportional to 651.41, 977.01 and 189.17

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Solution

The fourth proportional to 651.41, 977.01 and 189.17 is: 283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.41 : 977.01 = 189.17 : x
  2. Step 2: Convert to fraction form
    651.41/977.01 = 189.17/x
  3. Step 3: Cross multiply
    651.41x = 977.01 × 189.17
  4. Step 4: Simplify right side
    651.41x = 184,816.10
  5. Step 5: Solve for x
    x = 184,816.10/651.41
  6. Step 6: Final answer
    x = 283.72

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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.