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Finding the Fourth Proportional to 228.59, 342.77 and 120.35

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Solution

The fourth proportional to 228.59, 342.77 and 120.35 is: 180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.59 : 342.77 = 120.35 : x
  2. Step 2: Convert to fraction form
    228.59/342.77 = 120.35/x
  3. Step 3: Cross multiply
    228.59x = 342.77 × 120.35
  4. Step 4: Simplify right side
    228.59x = 41,252.37
  5. Step 5: Solve for x
    x = 41,252.37/228.59
  6. Step 6: Final answer
    x = 180.46

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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.