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Finding the Fourth Proportional to 357.51, 536.22 and 242.16

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Solution

The fourth proportional to 357.51, 536.22 and 242.16 is: 363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.51 : 536.22 = 242.16 : x
  2. Step 2: Convert to fraction form
    357.51/536.22 = 242.16/x
  3. Step 3: Cross multiply
    357.51x = 536.22 × 242.16
  4. Step 4: Simplify right side
    357.51x = 129,851.04
  5. Step 5: Solve for x
    x = 129,851.04/357.51
  6. Step 6: Final answer
    x = 363.21

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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.