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Finding the Fourth Proportional to 357.67, 536.05 and 152.00

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Solution

The fourth proportional to 357.67, 536.05 and 152.00 is: 227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.67 : 536.05 = 152.00 : x
  2. Step 2: Convert to fraction form
    357.67/536.05 = 152.00/x
  3. Step 3: Cross multiply
    357.67x = 536.05 × 152.00
  4. Step 4: Simplify right side
    357.67x = 81,476.16
  5. Step 5: Solve for x
    x = 81,476.16/357.67
  6. Step 6: Final answer
    x = 227.80

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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.