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Finding the Fourth Proportional to 228.68, 315.58 and 145.64

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Solution

The fourth proportional to 228.68, 315.58 and 145.64 is: 200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.68 : 315.58 = 145.64 : x
  2. Step 2: Convert to fraction form
    228.68/315.58 = 145.64/x
  3. Step 3: Cross multiply
    228.68x = 315.58 × 145.64
  4. Step 4: Simplify right side
    228.68x = 45,961.07
  5. Step 5: Solve for x
    x = 45,961.07/228.68
  6. Step 6: Final answer
    x = 200.98

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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.