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Finding the Fourth Proportional to 228.19, 314.80 and 159.23

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Solution

The fourth proportional to 228.19, 314.80 and 159.23 is: 219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.19 : 314.80 = 159.23 : x
  2. Step 2: Convert to fraction form
    228.19/314.80 = 159.23/x
  3. Step 3: Cross multiply
    228.19x = 314.80 × 159.23
  4. Step 4: Simplify right side
    228.19x = 50,125.60
  5. Step 5: Solve for x
    x = 50,125.60/228.19
  6. Step 6: Final answer
    x = 219.67

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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.