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Finding the Fourth Proportional to 178.24, 265.76 and 175

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Solution

The fourth proportional to 178.24, 265.76 and 175 is: 260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 265.76 = 175 : x
  2. Step 2: Convert to fraction form
    178.24/265.76 = 175/x
  3. Step 3: Cross multiply
    178.24x = 265.76 × 175
  4. Step 4: Simplify right side
    178.24x = 46,508
  5. Step 5: Solve for x
    x = 46,508/178.24
  6. Step 6: Final answer
    x = 260.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.