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Finding the Fourth Proportional to 228.09, 314.59 and 158.15

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Solution

The fourth proportional to 228.09, 314.59 and 158.15 is: 218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.09 : 314.59 = 158.15 : x
  2. Step 2: Convert to fraction form
    228.09/314.59 = 158.15/x
  3. Step 3: Cross multiply
    228.09x = 314.59 × 158.15
  4. Step 4: Simplify right side
    228.09x = 49,751.77
  5. Step 5: Solve for x
    x = 49,751.77/228.09
  6. Step 6: Final answer
    x = 218.13

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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.