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Finding the Fourth Proportional to 176.95, 265.43 and 46.95

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Solution

The fourth proportional to 176.95, 265.43 and 46.95 is: 70.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.95 : 265.43 = 46.95 : x
  2. Step 2: Convert to fraction form
    176.95/265.43 = 46.95/x
  3. Step 3: Cross multiply
    176.95x = 265.43 × 46.95
  4. Step 4: Simplify right side
    176.95x = 12,460.61
  5. Step 5: Solve for x
    x = 12,460.61/176.95
  6. Step 6: Final answer
    x = 70.42

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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.