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Finding the Fourth Proportional to 228.36, 315.15 and 141.06

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Solution

The fourth proportional to 228.36, 315.15 and 141.06 is: 194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.36 : 315.15 = 141.06 : x
  2. Step 2: Convert to fraction form
    228.36/315.15 = 141.06/x
  3. Step 3: Cross multiply
    228.36x = 315.15 × 141.06
  4. Step 4: Simplify right side
    228.36x = 44,455.06
  5. Step 5: Solve for x
    x = 44,455.06/228.36
  6. Step 6: Final answer
    x = 194.67

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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.