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Finding the Fourth Proportional to 335.58, 502.90 and 152.66

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Solution

The fourth proportional to 335.58, 502.90 and 152.66 is: 228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.58 : 502.90 = 152.66 : x
  2. Step 2: Convert to fraction form
    335.58/502.90 = 152.66/x
  3. Step 3: Cross multiply
    335.58x = 502.90 × 152.66
  4. Step 4: Simplify right side
    335.58x = 76,769.82
  5. Step 5: Solve for x
    x = 76,769.82/335.58
  6. Step 6: Final answer
    x = 228.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.