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Finding the Fourth Proportional to 261.49, 360.84 and 145.06

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Solution

The fourth proportional to 261.49, 360.84 and 145.06 is: 200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.49 : 360.84 = 145.06 : x
  2. Step 2: Convert to fraction form
    261.49/360.84 = 145.06/x
  3. Step 3: Cross multiply
    261.49x = 360.84 × 145.06
  4. Step 4: Simplify right side
    261.49x = 52,343.45
  5. Step 5: Solve for x
    x = 52,343.45/261.49
  6. Step 6: Final answer
    x = 200.17

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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.