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Finding the Fourth Proportional to 357.84, 537.12 and 175.37

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Solution

The fourth proportional to 357.84, 537.12 and 175.37 is: 263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.84 : 537.12 = 175.37 : x
  2. Step 2: Convert to fraction form
    357.84/537.12 = 175.37/x
  3. Step 3: Cross multiply
    357.84x = 537.12 × 175.37
  4. Step 4: Simplify right side
    357.84x = 94,192.05
  5. Step 5: Solve for x
    x = 94,192.05/357.84
  6. Step 6: Final answer
    x = 263.22

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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.