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Finding the Fourth Proportional to 228.52, 314.98 and 220.01

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Solution

The fourth proportional to 228.52, 314.98 and 220.01 is: 303.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.52 : 314.98 = 220.01 : x
  2. Step 2: Convert to fraction form
    228.52/314.98 = 220.01/x
  3. Step 3: Cross multiply
    228.52x = 314.98 × 220.01
  4. Step 4: Simplify right side
    228.52x = 69,298.75
  5. Step 5: Solve for x
    x = 69,298.75/228.52
  6. Step 6: Final answer
    x = 303.25

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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.