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Finding the Fourth Proportional to 228.28, 314.98 and 175.88

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Solution

The fourth proportional to 228.28, 314.98 and 175.88 is: 242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.28 : 314.98 = 175.88 : x
  2. Step 2: Convert to fraction form
    228.28/314.98 = 175.88/x
  3. Step 3: Cross multiply
    228.28x = 314.98 × 175.88
  4. Step 4: Simplify right side
    228.28x = 55,398.68
  5. Step 5: Solve for x
    x = 55,398.68/228.28
  6. Step 6: Final answer
    x = 242.68

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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.