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Finding the Fourth Proportional to 646.66, 970.02 and 184.51

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Solution

The fourth proportional to 646.66, 970.02 and 184.51 is: 276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.66 : 970.02 = 184.51 : x
  2. Step 2: Convert to fraction form
    646.66/970.02 = 184.51/x
  3. Step 3: Cross multiply
    646.66x = 970.02 × 184.51
  4. Step 4: Simplify right side
    646.66x = 178,974.49
  5. Step 5: Solve for x
    x = 178,974.49/646.66
  6. Step 6: Final answer
    x = 276.77

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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.