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Finding the Fourth Proportional to 228.64, 314.58 and 197.45

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Solution

The fourth proportional to 228.64, 314.58 and 197.45 is: 271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.64 : 314.58 = 197.45 : x
  2. Step 2: Convert to fraction form
    228.64/314.58 = 197.45/x
  3. Step 3: Cross multiply
    228.64x = 314.58 × 197.45
  4. Step 4: Simplify right side
    228.64x = 62,115.94
  5. Step 5: Solve for x
    x = 62,115.94/228.64
  6. Step 6: Final answer
    x = 271.68

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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.