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Finding the Fourth Proportional to 228.55, 314.60 and 173.15

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Solution

The fourth proportional to 228.55, 314.60 and 173.15 is: 238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.55 : 314.60 = 173.15 : x
  2. Step 2: Convert to fraction form
    228.55/314.60 = 173.15/x
  3. Step 3: Cross multiply
    228.55x = 314.60 × 173.15
  4. Step 4: Simplify right side
    228.55x = 54,472.99
  5. Step 5: Solve for x
    x = 54,472.99/228.55
  6. Step 6: Final answer
    x = 238.35

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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.