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Finding the Fourth Proportional to 347.01, 520.68 and 141.64

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Solution

The fourth proportional to 347.01, 520.68 and 141.64 is: 212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.01 : 520.68 = 141.64 : x
  2. Step 2: Convert to fraction form
    347.01/520.68 = 141.64/x
  3. Step 3: Cross multiply
    347.01x = 520.68 × 141.64
  4. Step 4: Simplify right side
    347.01x = 73,746.51
  5. Step 5: Solve for x
    x = 73,746.51/347.01
  6. Step 6: Final answer
    x = 212.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.