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Finding the Fourth Proportional to 175.83, 264.95 and 146.07

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Solution

The fourth proportional to 175.83, 264.95 and 146.07 is: 220.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.83 : 264.95 = 146.07 : x
  2. Step 2: Convert to fraction form
    175.83/264.95 = 146.07/x
  3. Step 3: Cross multiply
    175.83x = 264.95 × 146.07
  4. Step 4: Simplify right side
    175.83x = 38,699.52
  5. Step 5: Solve for x
    x = 38,699.52/175.83
  6. Step 6: Final answer
    x = 220.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.