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Finding the Fourth Proportional to 302.24, 416.76 and 228.08

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Solution

The fourth proportional to 302.24, 416.76 and 228.08 is: 314.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.24 : 416.76 = 228.08 : x
  2. Step 2: Convert to fraction form
    302.24/416.76 = 228.08/x
  3. Step 3: Cross multiply
    302.24x = 416.76 × 228.08
  4. Step 4: Simplify right side
    302.24x = 95,054.62
  5. Step 5: Solve for x
    x = 95,054.62/302.24
  6. Step 6: Final answer
    x = 314.50

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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.