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Finding the Fourth Proportional to 270.84, 373.76 and 146.50

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Solution

The fourth proportional to 270.84, 373.76 and 146.50 is: 202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.84 : 373.76 = 146.50 : x
  2. Step 2: Convert to fraction form
    270.84/373.76 = 146.50/x
  3. Step 3: Cross multiply
    270.84x = 373.76 × 146.50
  4. Step 4: Simplify right side
    270.84x = 54,754.31
  5. Step 5: Solve for x
    x = 54,754.31/270.84
  6. Step 6: Final answer
    x = 202.17

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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.