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Finding the Fourth Proportional to 228.48, 314.76 and 179.28

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Solution

The fourth proportional to 228.48, 314.76 and 179.28 is: 246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.48 : 314.76 = 179.28 : x
  2. Step 2: Convert to fraction form
    228.48/314.76 = 179.28/x
  3. Step 3: Cross multiply
    228.48x = 314.76 × 179.28
  4. Step 4: Simplify right side
    228.48x = 56,430.17
  5. Step 5: Solve for x
    x = 56,430.17/228.48
  6. Step 6: Final answer
    x = 246.98

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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.