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Finding the Fourth Proportional to 240.84, 332.55 and 153.66

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Solution

The fourth proportional to 240.84, 332.55 and 153.66 is: 212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.84 : 332.55 = 153.66 : x
  2. Step 2: Convert to fraction form
    240.84/332.55 = 153.66/x
  3. Step 3: Cross multiply
    240.84x = 332.55 × 153.66
  4. Step 4: Simplify right side
    240.84x = 51,099.63
  5. Step 5: Solve for x
    x = 51,099.63/240.84
  6. Step 6: Final answer
    x = 212.17

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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.