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Finding the Fourth Proportional to 235.53, 354.60 and 184.84

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Solution

The fourth proportional to 235.53, 354.60 and 184.84 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.53 : 354.60 = 184.84 : x
  2. Step 2: Convert to fraction form
    235.53/354.60 = 184.84/x
  3. Step 3: Cross multiply
    235.53x = 354.60 × 184.84
  4. Step 4: Simplify right side
    235.53x = 65,543.38
  5. Step 5: Solve for x
    x = 65,543.38/235.53
  6. Step 6: Final answer
    x = 278.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.