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Finding the Fourth Proportional to 312.16, 430.59 and 218.77

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Solution

The fourth proportional to 312.16, 430.59 and 218.77 is: 301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.16 : 430.59 = 218.77 : x
  2. Step 2: Convert to fraction form
    312.16/430.59 = 218.77/x
  3. Step 3: Cross multiply
    312.16x = 430.59 × 218.77
  4. Step 4: Simplify right side
    312.16x = 94,200.17
  5. Step 5: Solve for x
    x = 94,200.17/312.16
  6. Step 6: Final answer
    x = 301.77

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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.