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Finding the Fourth Proportional to 431.10, 646.68 and 123

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Solution

The fourth proportional to 431.10, 646.68 and 123 is: 184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.10 : 646.68 = 123 : x
  2. Step 2: Convert to fraction form
    431.10/646.68 = 123/x
  3. Step 3: Cross multiply
    431.10x = 646.68 × 123
  4. Step 4: Simplify right side
    431.10x = 79,541.64
  5. Step 5: Solve for x
    x = 79,541.64/431.10
  6. Step 6: Final answer
    x = 184.51

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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.