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Finding the Fourth Proportional to 228.12, 314.91 and 145.36

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Solution

The fourth proportional to 228.12, 314.91 and 145.36 is: 200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.12 : 314.91 = 145.36 : x
  2. Step 2: Convert to fraction form
    228.12/314.91 = 145.36/x
  3. Step 3: Cross multiply
    228.12x = 314.91 × 145.36
  4. Step 4: Simplify right side
    228.12x = 45,775.32
  5. Step 5: Solve for x
    x = 45,775.32/228.12
  6. Step 6: Final answer
    x = 200.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.