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Finding the Fourth Proportional to 314.89, 434.53 and 175.00

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Solution

The fourth proportional to 314.89, 434.53 and 175.00 is: 241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.89 : 434.53 = 175.00 : x
  2. Step 2: Convert to fraction form
    314.89/434.53 = 175.00/x
  3. Step 3: Cross multiply
    314.89x = 434.53 × 175.00
  4. Step 4: Simplify right side
    314.89x = 76,041.23
  5. Step 5: Solve for x
    x = 76,041.23/314.89
  6. Step 6: Final answer
    x = 241.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.