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Finding the Fourth Proportional to 228.16, 314.64 and 159.04

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Solution

The fourth proportional to 228.16, 314.64 and 159.04 is: 219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.16 : 314.64 = 159.04 : x
  2. Step 2: Convert to fraction form
    228.16/314.64 = 159.04/x
  3. Step 3: Cross multiply
    228.16x = 314.64 × 159.04
  4. Step 4: Simplify right side
    228.16x = 50,040.35
  5. Step 5: Solve for x
    x = 50,040.35/228.16
  6. Step 6: Final answer
    x = 219.32

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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.