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Finding the Fourth Proportional to 259.84, 389.71 and 97.53

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Solution

The fourth proportional to 259.84, 389.71 and 97.53 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.84 : 389.71 = 97.53 : x
  2. Step 2: Convert to fraction form
    259.84/389.71 = 97.53/x
  3. Step 3: Cross multiply
    259.84x = 389.71 × 97.53
  4. Step 4: Simplify right side
    259.84x = 38,008.42
  5. Step 5: Solve for x
    x = 38,008.42/259.84
  6. Step 6: Final answer
    x = 146.28

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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.