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Finding the Fourth Proportional to 351.18, 524.75 and 242.10

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Solution

The fourth proportional to 351.18, 524.75 and 242.10 is: 361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.18 : 524.75 = 242.10 : x
  2. Step 2: Convert to fraction form
    351.18/524.75 = 242.10/x
  3. Step 3: Cross multiply
    351.18x = 524.75 × 242.10
  4. Step 4: Simplify right side
    351.18x = 127,040.76
  5. Step 5: Solve for x
    x = 127,040.76/351.18
  6. Step 6: Final answer
    x = 361.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.