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Finding the Fourth Proportional to 228.29, 314.91 and 145.35

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Solution

The fourth proportional to 228.29, 314.91 and 145.35 is: 200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.29 : 314.91 = 145.35 : x
  2. Step 2: Convert to fraction form
    228.29/314.91 = 145.35/x
  3. Step 3: Cross multiply
    228.29x = 314.91 × 145.35
  4. Step 4: Simplify right side
    228.29x = 45,772.17
  5. Step 5: Solve for x
    x = 45,772.17/228.29
  6. Step 6: Final answer
    x = 200.50

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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.