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Finding the Fourth Proportional to 176.83, 265.24 and 46.83

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Solution

The fourth proportional to 176.83, 265.24 and 46.83 is: 70.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.83 : 265.24 = 46.83 : x
  2. Step 2: Convert to fraction form
    176.83/265.24 = 46.83/x
  3. Step 3: Cross multiply
    176.83x = 265.24 × 46.83
  4. Step 4: Simplify right side
    176.83x = 12,421.07
  5. Step 5: Solve for x
    x = 12,421.07/176.83
  6. Step 6: Final answer
    x = 70.24

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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.