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Finding the Fourth Proportional to 470.55, 705.71 and 178.03

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Solution

The fourth proportional to 470.55, 705.71 and 178.03 is: 267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.55 : 705.71 = 178.03 : x
  2. Step 2: Convert to fraction form
    470.55/705.71 = 178.03/x
  3. Step 3: Cross multiply
    470.55x = 705.71 × 178.03
  4. Step 4: Simplify right side
    470.55x = 125,637.55
  5. Step 5: Solve for x
    x = 125,637.55/470.55
  6. Step 6: Final answer
    x = 267.00

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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.