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Finding the Fourth Proportional to 253.10, 379.64 and 123.07

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Solution

The fourth proportional to 253.10, 379.64 and 123.07 is: 184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.10 : 379.64 = 123.07 : x
  2. Step 2: Convert to fraction form
    253.10/379.64 = 123.07/x
  3. Step 3: Cross multiply
    253.10x = 379.64 × 123.07
  4. Step 4: Simplify right side
    253.10x = 46,721.68
  5. Step 5: Solve for x
    x = 46,721.68/253.10
  6. Step 6: Final answer
    x = 184.60

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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.