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Finding the Fourth Proportional to 351.51, 527.40 and 146.07

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Solution

The fourth proportional to 351.51, 527.40 and 146.07 is: 219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.51 : 527.40 = 146.07 : x
  2. Step 2: Convert to fraction form
    351.51/527.40 = 146.07/x
  3. Step 3: Cross multiply
    351.51x = 527.40 × 146.07
  4. Step 4: Simplify right side
    351.51x = 77,037.32
  5. Step 5: Solve for x
    x = 77,037.32/351.51
  6. Step 6: Final answer
    x = 219.16

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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.