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Finding the Fourth Proportional to 228.24, 342.25 and 106.53

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Solution

The fourth proportional to 228.24, 342.25 and 106.53 is: 159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.24 : 342.25 = 106.53 : x
  2. Step 2: Convert to fraction form
    228.24/342.25 = 106.53/x
  3. Step 3: Cross multiply
    228.24x = 342.25 × 106.53
  4. Step 4: Simplify right side
    228.24x = 36,459.89
  5. Step 5: Solve for x
    x = 36,459.89/228.24
  6. Step 6: Final answer
    x = 159.75

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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.