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Finding the Fourth Proportional to 646.74, 970.02 and 184.56

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Solution

The fourth proportional to 646.74, 970.02 and 184.56 is: 276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.74 : 970.02 = 184.56 : x
  2. Step 2: Convert to fraction form
    646.74/970.02 = 184.56/x
  3. Step 3: Cross multiply
    646.74x = 970.02 × 184.56
  4. Step 4: Simplify right side
    646.74x = 179,026.89
  5. Step 5: Solve for x
    x = 179,026.89/646.74
  6. Step 6: Final answer
    x = 276.81

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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.