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Finding the Fourth Proportional to 647.14, 970.64 and 184.90

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Solution

The fourth proportional to 647.14, 970.64 and 184.90 is: 277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.14 : 970.64 = 184.90 : x
  2. Step 2: Convert to fraction form
    647.14/970.64 = 184.90/x
  3. Step 3: Cross multiply
    647.14x = 970.64 × 184.90
  4. Step 4: Simplify right side
    647.14x = 179,471.34
  5. Step 5: Solve for x
    x = 179,471.34/647.14
  6. Step 6: Final answer
    x = 277.33

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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.