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Finding the Fourth Proportional to 184.40, 253.64 and 138.32

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Solution

The fourth proportional to 184.40, 253.64 and 138.32 is: 190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.40 : 253.64 = 138.32 : x
  2. Step 2: Convert to fraction form
    184.40/253.64 = 138.32/x
  3. Step 3: Cross multiply
    184.40x = 253.64 × 138.32
  4. Step 4: Simplify right side
    184.40x = 35,083.48
  5. Step 5: Solve for x
    x = 35,083.48/184.40
  6. Step 6: Final answer
    x = 190.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.