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Finding the Fourth Proportional to 357.24, 535.15 and 174.08

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Solution

The fourth proportional to 357.24, 535.15 and 174.08 is: 260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.24 : 535.15 = 174.08 : x
  2. Step 2: Convert to fraction form
    357.24/535.15 = 174.08/x
  3. Step 3: Cross multiply
    357.24x = 535.15 × 174.08
  4. Step 4: Simplify right side
    357.24x = 93,158.91
  5. Step 5: Solve for x
    x = 93,158.91/357.24
  6. Step 6: Final answer
    x = 260.77

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