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Finding the Fourth Proportional to 348.32, 521.75 and 156.08

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Solution

The fourth proportional to 348.32, 521.75 and 156.08 is: 233.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.32 : 521.75 = 156.08 : x
  2. Step 2: Convert to fraction form
    348.32/521.75 = 156.08/x
  3. Step 3: Cross multiply
    348.32x = 521.75 × 156.08
  4. Step 4: Simplify right side
    348.32x = 81,434.74
  5. Step 5: Solve for x
    x = 81,434.74/348.32
  6. Step 6: Final answer
    x = 233.79

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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.