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Finding the Fourth Proportional to 647.02, 970.53 and 160.08

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Solution

The fourth proportional to 647.02, 970.53 and 160.08 is: 240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.02 : 970.53 = 160.08 : x
  2. Step 2: Convert to fraction form
    647.02/970.53 = 160.08/x
  3. Step 3: Cross multiply
    647.02x = 970.53 × 160.08
  4. Step 4: Simplify right side
    647.02x = 155,362.44
  5. Step 5: Solve for x
    x = 155,362.44/647.02
  6. Step 6: Final answer
    x = 240.12

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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.