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Finding the Fourth Proportional to 347.82, 521.82 and 152.98

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Solution

The fourth proportional to 347.82, 521.82 and 152.98 is: 229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.82 : 521.82 = 152.98 : x
  2. Step 2: Convert to fraction form
    347.82/521.82 = 152.98/x
  3. Step 3: Cross multiply
    347.82x = 521.82 × 152.98
  4. Step 4: Simplify right side
    347.82x = 79,828.02
  5. Step 5: Solve for x
    x = 79,828.02/347.82
  6. Step 6: Final answer
    x = 229.51

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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.