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Finding the Fourth Proportional to 228.26, 314.98 and 130.03

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Solution

The fourth proportional to 228.26, 314.98 and 130.03 is: 179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.26 : 314.98 = 130.03 : x
  2. Step 2: Convert to fraction form
    228.26/314.98 = 130.03/x
  3. Step 3: Cross multiply
    228.26x = 314.98 × 130.03
  4. Step 4: Simplify right side
    228.26x = 40,955.74
  5. Step 5: Solve for x
    x = 40,955.74/228.26
  6. Step 6: Final answer
    x = 179.42

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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.