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Finding the Fourth Proportional to 187.36, 256.77 and 184.94

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Solution

The fourth proportional to 187.36, 256.77 and 184.94 is: 253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.36 : 256.77 = 184.94 : x
  2. Step 2: Convert to fraction form
    187.36/256.77 = 184.94/x
  3. Step 3: Cross multiply
    187.36x = 256.77 × 184.94
  4. Step 4: Simplify right side
    187.36x = 47,486.12
  5. Step 5: Solve for x
    x = 47,486.12/187.36
  6. Step 6: Final answer
    x = 253.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.