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Finding the Fourth Proportional to 265.08, 364.91 and 228.02

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Solution

The fourth proportional to 265.08, 364.91 and 228.02 is: 313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.08 : 364.91 = 228.02 : x
  2. Step 2: Convert to fraction form
    265.08/364.91 = 228.02/x
  3. Step 3: Cross multiply
    265.08x = 364.91 × 228.02
  4. Step 4: Simplify right side
    265.08x = 83,205.64
  5. Step 5: Solve for x
    x = 83,205.64/265.08
  6. Step 6: Final answer
    x = 313.89

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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.