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Finding the Fourth Proportional to 281.53, 389.58 and 240.02

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Solution

The fourth proportional to 281.53, 389.58 and 240.02 is: 332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.53 : 389.58 = 240.02 : x
  2. Step 2: Convert to fraction form
    281.53/389.58 = 240.02/x
  3. Step 3: Cross multiply
    281.53x = 389.58 × 240.02
  4. Step 4: Simplify right side
    281.53x = 93,506.99
  5. Step 5: Solve for x
    x = 93,506.99/281.53
  6. Step 6: Final answer
    x = 332.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.