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Finding the Fourth Proportional to 228.16, 314.81 and 134.89

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Solution

The fourth proportional to 228.16, 314.81 and 134.89 is: 186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.16 : 314.81 = 134.89 : x
  2. Step 2: Convert to fraction form
    228.16/314.81 = 134.89/x
  3. Step 3: Cross multiply
    228.16x = 314.81 × 134.89
  4. Step 4: Simplify right side
    228.16x = 42,462.47
  5. Step 5: Solve for x
    x = 42,462.47/228.16
  6. Step 6: Final answer
    x = 186.11

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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.