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Finding the Fourth Proportional to 292.96, 437.72 and 228.88

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Solution

The fourth proportional to 292.96, 437.72 and 228.88 is: 341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.96 : 437.72 = 228.88 : x
  2. Step 2: Convert to fraction form
    292.96/437.72 = 228.88/x
  3. Step 3: Cross multiply
    292.96x = 437.72 × 228.88
  4. Step 4: Simplify right side
    292.96x = 100,185.35
  5. Step 5: Solve for x
    x = 100,185.35/292.96
  6. Step 6: Final answer
    x = 341.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.