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Finding the Fourth Proportional to 656.10, 983.96 and 193.87

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Solution

The fourth proportional to 656.10, 983.96 and 193.87 is: 290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.10 : 983.96 = 193.87 : x
  2. Step 2: Convert to fraction form
    656.10/983.96 = 193.87/x
  3. Step 3: Cross multiply
    656.10x = 983.96 × 193.87
  4. Step 4: Simplify right side
    656.10x = 190,756.90
  5. Step 5: Solve for x
    x = 190,756.90/656.10
  6. Step 6: Final answer
    x = 290.74

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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.