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Finding the Fourth Proportional to 302.30, 417.66 and 228.86

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Solution

The fourth proportional to 302.30, 417.66 and 228.86 is: 316.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.30 : 417.66 = 228.86 : x
  2. Step 2: Convert to fraction form
    302.30/417.66 = 228.86/x
  3. Step 3: Cross multiply
    302.30x = 417.66 × 228.86
  4. Step 4: Simplify right side
    302.30x = 95,585.67
  5. Step 5: Solve for x
    x = 95,585.67/302.30
  6. Step 6: Final answer
    x = 316.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.