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Finding the Fourth Proportional to 357.45, 536.08 and 152.02

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Solution

The fourth proportional to 357.45, 536.08 and 152.02 is: 227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.45 : 536.08 = 152.02 : x
  2. Step 2: Convert to fraction form
    357.45/536.08 = 152.02/x
  3. Step 3: Cross multiply
    357.45x = 536.08 × 152.02
  4. Step 4: Simplify right side
    357.45x = 81,494.88
  5. Step 5: Solve for x
    x = 81,494.88/357.45
  6. Step 6: Final answer
    x = 227.99

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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.