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Finding the Fourth Proportional to 646.88, 970.14 and 184.53

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Solution

The fourth proportional to 646.88, 970.14 and 184.53 is: 276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.88 : 970.14 = 184.53 : x
  2. Step 2: Convert to fraction form
    646.88/970.14 = 184.53/x
  3. Step 3: Cross multiply
    646.88x = 970.14 × 184.53
  4. Step 4: Simplify right side
    646.88x = 179,024.26
  5. Step 5: Solve for x
    x = 179,024.26/646.88
  6. Step 6: Final answer
    x = 276.75

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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.